84:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1:@0.059451:0.122645:0.071060:0.122645:0.071060:0.065614:0.059451:0.065614:0.000000
Actividad resuelta:@0.115209:0.733247:0.272331:0.733247:0.272331:0.714810:0.115209:0.714810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115209:0.755561:0.133931:0.755561:0.133931:0.738661:0.115209:0.738661:0.000000:0.000000:0.000000
Sean los vectores :@0.148452:0.755561:0.278957:0.755561:0.278957:0.739172:0.148452:0.739172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.284554:0.744692:0.224056:0.744692:0.224056:0.727943:0.284554:0.727943:0.000000
:@0.352607:0.744692:0.292109:0.744692:0.292109:0.727943:0.352607:0.727943:0.000000
A:@0.283036:0.755608:0.292932:0.755608:0.292932:0.739246:0.283036:0.739246:0.000000
B:@0.350352:0.755608:0.359197:0.755608:0.359197:0.739246:0.350352:0.739246:0.000000
1,4,:@0.313607:0.755608:0.346022:0.755608:0.346022:0.739219:0.313607:0.739219:0.000000:0.000000:0.000000:0.000000
.:@0.346943:0.755608:0.350149:0.755608:0.350149:0.739219:0.346943:0.739219:0.000000
2,3.:@0.382803:0.755608:0.415293:0.755608:0.415293:0.739219:0.382803:0.739219:0.000000:0.000000:0.000000:0.000000
( ):@0.308320:0.758740:0.341361:0.758740:0.341361:0.738806:0.308320:0.738806:0.000000:0.000000:0.000000
( ):@0.376374:0.758740:0.411405:0.758740:0.411405:0.738806:0.376374:0.738806:0.000000:0.000000:0.000000
=:@0.295652:0.756285:0.305769:0.756285:0.305769:0.740712:0.295652:0.740712:0.000000
=:@0.363705:0.756285:0.373822:0.756285:0.373822:0.740712:0.363705:0.740712:0.000000
Calculamos :@0.148451:0.778237:0.240570:0.778237:0.240570:0.761613:0.148451:0.761613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.246171:0.767321:0.272522:0.767321:0.272522:0.750572:0.246171:0.750572:0.000000:0.000000
⋅:@0.256324:0.778911:0.260931:0.778911:0.260931:0.763338:0.256324:0.763338:0.000000
AB:@0.244641:0.778233:0.271545:0.778233:0.271545:0.761872:0.244641:0.761872:0.000000:0.000000
 y la distancia de  a .:@0.277424:0.778237:0.444135:0.778237:0.444135:0.761848:0.277424:0.761848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. .:@0.415624:0.778237:0.429832:0.778237:0.429832:0.761848:0.415624:0.761848:0.000000:0.000000:0.000000
:@0.407682:0.767325:0.439838:0.767325:0.439838:0.750576:0.407682:0.750576:0.000000:0.000000
AB:@0.406171:0.778237:0.438899:0.778237:0.438899:0.761875:0.406171:0.761875:0.000000:0.000000
Aplicamos:@0.148446:0.798401:0.228735:0.798401:0.228735:0.781777:0.148446:0.781777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el producto escalar: :@0.228735:0.798401:0.380190:0.798401:0.380190:0.782012:0.228735:0.782012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,4:@0.201901:0.817508:0.222613:0.817508:0.222613:0.801120:0.201901:0.801120:0.000000:0.000000:0.000000
2,3:@0.244192:0.817508:0.266895:0.817508:0.266895:0.801120:0.244192:0.801120:0.000000:0.000000:0.000000
21214:@0.288105:0.817508:0.359310:0.817508:0.359310:0.801120:0.288105:0.801120:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.154051:0.806591:0.180402:0.806591:0.180402:0.789843:0.154051:0.789843:0.000000:0.000000
( ) ( ):@0.196614:0.820640:0.272794:0.820640:0.272794:0.800707:0.196614:0.800707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅=:@0.164208:0.818186:0.194061:0.818186:0.194061:0.802613:0.164208:0.802613:0.000000:0.000000
⋅:@0.231377:0.818186:0.235983:0.818186:0.235983:0.802613:0.231377:0.802613:0.000000
= +:@0.275455:0.818186:0.308815:0.818186:0.308815:0.802613:0.275455:0.802613:0.000000:0.000000:0.000000
=:@0.330006:0.818186:0.340123:0.818186:0.340123:0.802613:0.330006:0.802613:0.000000
AB:@0.152533:0.817508:0.179437:0.817508:0.179437:0.801147:0.152533:0.801147:0.000000:0.000000
Calculamos :@0.148442:0.840190:0.240562:0.840190:0.240562:0.823566:0.148442:0.823566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distancia de  a:@0.240562:0.840190:0.374367:0.840183:0.374367:0.823794:0.240562:0.823801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. .:@0.362591:0.840183:0.376799:0.840183:0.376799:0.823794:0.362591:0.823794:0.000000:0.000000:0.000000
:@0.354649:0.829270:0.386805:0.829270:0.386805:0.812522:0.354649:0.812522:0.000000:0.000000
AB:@0.353138:0.840183:0.385866:0.840183:0.385866:0.823821:0.353138:0.823821:0.000000:0.000000
 :@0.115209:0.860343:0.119023:0.860343:0.119023:0.843443:0.115209:0.843443:0.000000
–:@0.170438:0.866630:0.179652:0.866630:0.179652:0.850241:0.170438:0.850241:0.000000
1–2:@0.231434:0.866630:0.260770:0.866630:0.260770:0.850241:0.231434:0.850241:0.000000:0.000000:0.000000
4–3:@0.295396:0.866630:0.328215:0.866630:0.328215:0.850241:0.295396:0.850241:0.000000:0.000000:0.000000
1 1:@0.369530:0.866630:0.397368:0.866630:0.397368:0.850241:0.369530:0.850241:0.000000:0.000000:0.000000
2:@0.423811:0.866630:0.432804:0.866630:0.432804:0.850241:0.423811:0.850241:0.000000
2:@0.267339:0.857082:0.272551:0.857082:0.272551:0.847584:0.267339:0.847584:0.000000
2:@0.334354:0.857082:0.339565:0.857082:0.339565:0.847584:0.334354:0.847584:0.000000
:@0.159495:0.855714:0.191965:0.855714:0.191965:0.838966:0.159495:0.838966:0.000000:0.000000
(:@0.226140:0.869762:0.232276:0.869762:0.232276:0.849828:0.226140:0.849828:0.000000
) (:@0.260950:0.869762:0.294359:0.869762:0.294359:0.849828:0.260950:0.849828:0.000000:0.000000:0.000000
):@0.327952:0.869762:0.334089:0.869762:0.334089:0.849828:0.327952:0.849828:0.000000
=:@0.200958:0.867308:0.211074:0.867308:0.211074:0.851735:0.200958:0.851735:0.000000
+:@0.276087:0.867308:0.286204:0.867308:0.286204:0.851735:0.276087:0.851735:0.000000
=:@0.345504:0.867308:0.355621:0.867308:0.355621:0.851735:0.345504:0.851735:0.000000
+ =:@0.377384:0.867308:0.408766:0.867308:0.408766:0.851735:0.377384:0.851735:0.000000:0.000000:0.000000
AB:@0.157984:0.866630:0.191025:0.866630:0.191025:0.850269:0.157984:0.850269:0.000000:0.000000
b) :@0.540855:0.755614:0.560886:0.755614:0.560886:0.738713:0.540855:0.738713:0.000000:0.000000:0.000000
Sean los vectores :@0.574099:0.755614:0.704603:0.755614:0.704603:0.739225:0.574099:0.739225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.710190:0.744692:0.651056:0.744692:0.651056:0.727943:0.710190:0.727943:0.000000
:@0.776880:0.744692:0.717746:0.744692:0.717746:0.727943:0.776880:0.727943:0.000000
A:@0.708679:0.755604:0.718575:0.755604:0.718575:0.739243:0.708679:0.739243:0.000000
B:@0.774650:0.755604:0.783495:0.755604:0.783495:0.739243:0.774650:0.739243:0.000000
(2,2),:@0.733538:0.755608:0.770301:0.755608:0.770301:0.739219:0.733538:0.739219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.771223:0.755608:0.774429:0.755608:0.774429:0.739219:0.771223:0.739219:0.000000
(0,1),:@0.800228:0.755608:0.833490:0.755608:0.833490:0.739219:0.800228:0.739219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.721289:0.756285:0.664716:0.756285:0.664716:0.740712:0.721289:0.740712:0.000000
=:@0.787978:0.756285:0.731405:0.756285:0.731405:0.740712:0.787978:0.740712:0.000000
 :@0.540845:0.783312:0.544881:0.783312:0.544881:0.766923:0.540845:0.766923:0.000000
:@0.579897:0.767367:0.587452:0.767367:0.587452:0.750619:0.579897:0.750619:0.000000
C:@0.576704:0.778283:0.586618:0.778283:0.586618:0.761922:0.576704:0.761922:0.000000
(1,0).:@0.603240:0.778283:0.636501:0.778283:0.636501:0.761894:0.603240:0.761894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.591004:0.778961:0.601120:0.778961:0.601120:0.763388:0.591004:0.763388:0.000000
 :@0.540862:0.810812:0.544898:0.810812:0.544898:0.794423:0.540862:0.794423:0.000000
Calculamos:@0.574105:0.810812:0.662319:0.810812:0.662319:0.794188:0.574105:0.794188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (:@0.662319:0.810812:0.673415:0.809551:0.673415:0.793162:0.662319:0.794423:0.000000:0.000000
 :@0.677223:0.798635:0.734349:0.798635:0.734349:0.781887:0.677223:0.781887:0.000000:0.000000:0.000000:0.000000
AB C:@0.675705:0.809551:0.733513:0.809551:0.733513:0.793190:0.675705:0.793190:0.000000:0.000000:0.000000:0.000000
):@0.710879:0.809551:0.715762:0.809551:0.715762:0.793162:0.710879:0.793162:0.000000
.:@0.734758:0.809551:0.737964:0.809551:0.737964:0.793162:0.734758:0.793162:0.000000
+:@0.687380:0.810229:0.697497:0.810229:0.697497:0.794656:0.687380:0.794656:0.000000
⋅:@0.717215:0.810229:0.721821:0.810229:0.721821:0.794656:0.717215:0.794656:0.000000
 :@0.540844:0.837046:0.544879:0.837046:0.544879:0.820657:0.540844:0.820657:0.000000
Aplicamos:@0.574087:0.837046:0.654376:0.837046:0.654376:0.820422:0.574087:0.820422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el producto escalar: :@0.654376:0.837046:0.799861:0.837046:0.799861:0.820657:0.654376:0.820657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.803484:0.826131:0.875057:0.826131:0.875057:0.809382:0.803484:0.809382:0.000000:0.000000:0.000000:0.000000:0.000000
AC BC:@0.801955:0.837043:0.874228:0.837043:0.874228:0.820682:0.801955:0.820682:0.000000:0.000000:0.000000:0.000000:0.000000
⋅+ ⋅:@0.813638:0.837721:0.862526:0.837721:0.862526:0.822148:0.813638:0.822148:0.000000:0.000000:0.000000:0.000000
  :@0.879969:0.837047:0.884005:0.837047:0.884005:0.820658:0.879969:0.820658:0.000000:0.000000
Primero::@0.574089:0.863283:0.634640:0.863283:0.634640:0.846894:0.574089:0.846894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.644276:0.852371:0.671568:0.852371:0.671568:0.835622:0.644276:0.835622:0.000000:0.000000
AC:@0.642765:0.863283:0.670738:0.863283:0.670738:0.846922:0.642765:0.846922:0.000000:0.000000
20 2.:@0.687784:0.863283:0.747047:0.863283:0.747047:0.846894:0.687784:0.846894:0.000000:0.000000:0.000000:0.000000:0.000000
⋅= +=:@0.654430:0.863961:0.732508:0.863961:0.732508:0.848388:0.654430:0.848388:0.000000:0.000000:0.000000:0.000000:0.000000
Segundo::@0.574089:0.889525:0.644388:0.889525:0.644388:0.873136:0.574089:0.873136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.653291:0.878609:0.680582:0.878609:0.680582:0.861861:0.653291:0.861861:0.000000:0.000000
BC:@0.651043:0.889522:0.679753:0.889522:0.679753:0.873160:0.651043:0.873160:0.000000:0.000000
00 0.:@0.696798:0.889522:0.756430:0.889522:0.756430:0.873133:0.696798:0.873133:0.000000:0.000000:0.000000:0.000000:0.000000
⋅= +=:@0.663444:0.890199:0.741872:0.890199:0.741872:0.874626:0.663444:0.874626:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540845:0.914507:0.544881:0.914507:0.544881:0.898118:0.540845:0.898118:0.000000
Por lo tanto: :@0.574089:0.914507:0.666446:0.914507:0.666446:0.898118:0.574089:0.898118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.672047:0.904848:0.743620:0.904848:0.743620:0.888100:0.672047:0.888100:0.000000:0.000000:0.000000:0.000000:0.000000
AC BC:@0.670517:0.915760:0.742790:0.915760:0.742790:0.899399:0.670517:0.899399:0.000000:0.000000:0.000000:0.000000:0.000000
20 2.:@0.759836:0.915760:0.819099:0.915760:0.819099:0.899371:0.759836:0.899371:0.000000:0.000000:0.000000:0.000000:0.000000
⋅+ ⋅= +=:@0.682200:0.916438:0.804560:0.916438:0.804560:0.900865:0.682200:0.900865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicaciones geométricas en :@0.115354:0.143160:0.546862:0.143160:0.546862:0.102424:0.115354:0.102424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.547736:0.147818:0.584021:0.147818:0.584021:0.102141:0.547736:0.102141:0.000000
2:@0.586110:0.124500:0.600315:0.124500:0.600315:0.098613:0.586110:0.098613:0.000000
M.5.2.15. Aplicar el producto escalar entre dos vectores, la norma de un vector, la distancia entre dos puntos, el ángulo entre dos vectores y la proyección octogonal :@0.125388:0.069719:0.877731:0.069719:0.877731:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un vector sobre otro, para resolver problemas geométricos, reales o hipotéticos en  .:@0.125388:0.080280:0.538820:0.080280:0.538820:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.526172:0.080545:0.533753:0.080545:0.533753:0.071002:0.526172:0.071002:0.000000
2:@0.534178:0.075672:0.537140:0.075672:0.537140:0.070273:0.534178:0.070273:0.000000
Aplicaciones geométricas en :@0.371028:0.172211:0.601797:0.172211:0.601797:0.155311:0.371028:0.155311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.616161:0.164608:0.621372:0.164608:0.621372:0.155110:0.616161:0.155110:0.000000
:@0.602079:0.173140:0.615383:0.173140:0.615383:0.156392:0.602079:0.156392:0.000000
Producto  :@0.122474:0.263280:0.203464:0.263280:0.203464:0.246379:0.122474:0.246379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalar en :@0.122474:0.279876:0.205638:0.279876:0.205638:0.262976:0.122474:0.262976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.205471:0.280963:0.218775:0.280963:0.218775:0.264214:0.205471:0.264214:0.000000
2:@0.219521:0.272409:0.224720:0.272409:0.224720:0.262934:0.219521:0.262934:0.000000
El producto escalar de dos vectores en :@0.277575:0.198441:0.559018:0.198441:0.559018:0.182052:0.277575:0.182052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.558643:0.199291:0.571948:0.199291:0.571948:0.182543:0.558643:0.182543:0.000000
2:@0.572693:0.190737:0.577892:0.190737:0.577892:0.181263:0.572693:0.181263:0.000000
 es el resultado de multiplicar las coorde-:@0.578242:0.198441:0.872771:0.198441:0.872771:0.182052:0.578242:0.182052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nadas de la misma dimensión de los vectores y sumarlas, el resultado es un escalar.:@0.277576:0.215037:0.872879:0.215037:0.872879:0.198649:0.277576:0.198649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.277576:0.242117:0.317435:0.242117:0.317435:0.225728:0.277576:0.225728:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.367585:0.241692:0.370792:0.241692:0.370792:0.225303:0.367585:0.225303:0.000000
,:@0.393292:0.241692:0.396498:0.241692:0.396498:0.225303:0.393292:0.225303:0.000000
,:@0.446898:0.241692:0.450104:0.241692:0.450104:0.225303:0.446898:0.225303:0.000000
1:@0.361827:0.243696:0.367039:0.243696:0.367039:0.234198:0.361827:0.234198:0.000000
1:@0.379940:0.243696:0.385152:0.243696:0.385152:0.234198:0.379940:0.234198:0.000000
2:@0.439565:0.243696:0.444776:0.243696:0.444776:0.234198:0.439565:0.234198:0.000000
2:@0.459931:0.243696:0.465142:0.243696:0.465142:0.234198:0.459931:0.234198:0.000000
12:@0.550494:0.243696:0.568895:0.243696:0.568895:0.234198:0.550494:0.234198:0.000000:0.000000
12:@0.592382:0.243696:0.610004:0.243696:0.610004:0.234198:0.592382:0.234198:0.000000:0.000000
:@0.323036:0.230776:0.253527:0.230776:0.253527:0.214028:0.323036:0.214028:0.000000
:@0.400100:0.230776:0.330591:0.230776:0.330591:0.214028:0.400100:0.214028:0.000000
:@0.499351:0.230776:0.525703:0.230776:0.525703:0.214028:0.499351:0.214028:0.000000:0.000000
(:@0.346802:0.244825:0.352939:0.244825:0.352939:0.224892:0.346802:0.224892:0.000000
):@0.385703:0.244825:0.391839:0.244825:0.391839:0.224892:0.385703:0.224892:0.000000
(:@0.423867:0.244825:0.430003:0.244825:0.430003:0.224892:0.423867:0.224892:0.000000
):@0.467264:0.244825:0.473400:0.244825:0.473400:0.224892:0.467264:0.224892:0.000000
=:@0.334134:0.242370:0.344251:0.242370:0.344251:0.226797:0.334134:0.226797:0.000000
=:@0.411198:0.242370:0.421315:0.242370:0.421315:0.226797:0.411198:0.226797:0.000000
→⋅ =:@0.475640:0.242370:0.539363:0.242370:0.539363:0.226797:0.475640:0.226797:0.000000:0.000000:0.000000:0.000000
+:@0.572440:0.242370:0.582557:0.242370:0.582557:0.226797:0.572440:0.226797:0.000000
A:@0.321516:0.241692:0.331412:0.241692:0.331412:0.225331:0.321516:0.225331:0.000000
a bB:@0.353617:0.241692:0.406689:0.241692:0.406689:0.225331:0.353617:0.225331:0.000000:0.000000:0.000000:0.000000
ab:@0.430663:0.241692:0.460719:0.241692:0.460719:0.225331:0.430663:0.225331:0.000000:0.000000
AB aa:@0.497832:0.241692:0.564061:0.241692:0.564061:0.225331:0.497832:0.225331:0.000000:0.000000:0.000000:0.000000:0.000000
bb:@0.584571:0.241692:0.605560:0.241692:0.605560:0.225331:0.584571:0.225331:0.000000:0.000000
Propiedades::@0.277566:0.262272:0.371860:0.262272:0.371860:0.245883:0.277566:0.245883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.277566:0.280832:0.292585:0.280832:0.292585:0.263696:0.277566:0.263696:0.000000:0.000000
 :@0.292585:0.280832:0.296620:0.280832:0.296620:0.264443:0.292585:0.264443:0.000000
:@0.311669:0.272985:0.338021:0.272985:0.338021:0.256237:0.311669:0.256237:0.000000:0.000000
:@0.356485:0.272985:0.383574:0.272985:0.383574:0.256237:0.356485:0.256237:0.000000:0.000000
⋅= ⋅:@0.321823:0.284575:0.371246:0.284575:0.371246:0.269002:0.321823:0.269002:0.000000:0.000000:0.000000:0.000000
AB BA:@0.310158:0.283897:0.384385:0.283897:0.384385:0.267536:0.310158:0.267536:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.277575:0.325137:0.292593:0.325137:0.292593:0.308001:0.277575:0.308001:0.000000:0.000000
 :@0.292593:0.325137:0.296629:0.325137:0.296629:0.308748:0.292593:0.308748:0.000000
:@0.373666:0.316190:0.381222:0.316190:0.381222:0.299441:0.373666:0.299441:0.000000
  :@0.400423:0.316190:0.471996:0.316190:0.471996:0.299441:0.400423:0.299441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=⋅ +⋅:@0.384751:0.327783:0.459457:0.327783:0.459457:0.312210:0.384751:0.312210:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.351067:0.316229:0.358623:0.316229:0.358623:0.299480:0.351067:0.299480:0.000000
B C:@0.347434:0.326942:0.380381:0.327101:0.380381:0.310739:0.347434:0.310581:0.000000:0.000000:0.000000
:@0.317489:0.315737:0.325044:0.315737:0.325044:0.298989:0.317489:0.298989:0.000000
A:@0.313857:0.326451:0.323753:0.326451:0.323753:0.310089:0.313857:0.310089:0.000000
A CB C:@0.398901:0.327101:0.471174:0.327101:0.471174:0.310739:0.398901:0.310739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.329730:0.326647:0.341711:0.326647:0.341711:0.308511:0.329730:0.308511:0.000000
3.:@0.512713:0.281386:0.527731:0.281386:0.527731:0.264251:0.512713:0.264251:0.000000:0.000000
 :@0.527731:0.281386:0.531767:0.281386:0.531767:0.264998:0.527731:0.264998:0.000000
:@0.564763:0.270471:0.597545:0.270471:0.597545:0.253722:0.564763:0.253722:0.000000:0.000000
:@0.636538:0.270471:0.662890:0.270471:0.662890:0.253722:0.636538:0.253722:0.000000:0.000000
α:@0.548264:0.282064:0.559892:0.282064:0.564457:0.266491:0.552829:0.266491:0.000000
α:@0.611766:0.282064:0.623393:0.282064:0.627958:0.266491:0.616330:0.266491:0.000000
( ):@0.543822:0.287503:0.579646:0.287503:0.579646:0.261808:0.543822:0.261808:0.000000:0.000000:0.000000
(:@0.627115:0.287503:0.633251:0.287503:0.633251:0.261808:0.627115:0.261808:0.000000
):@0.664081:0.287503:0.670217:0.287503:0.670217:0.261808:0.664081:0.261808:0.000000
⋅=:@0.581358:0.282064:0.611210:0.282064:0.611210:0.266491:0.581358:0.266491:0.000000:0.000000
⋅:@0.646684:0.282064:0.651290:0.282064:0.651290:0.266491:0.646684:0.266491:0.000000
AB:@0.563243:0.281386:0.596597:0.281386:0.596597:0.265025:0.563243:0.265025:0.000000:0.000000
AB:@0.635019:0.281386:0.661923:0.281386:0.661923:0.265025:0.635019:0.265025:0.000000:0.000000
4.:@0.512715:0.326211:0.527733:0.326211:0.527733:0.309075:0.512715:0.309075:0.000000:0.000000
 :@0.527733:0.326211:0.531769:0.326211:0.531769:0.309822:0.527733:0.309822:0.000000
0:@0.599263:0.316761:0.608255:0.316761:0.608255:0.301091:0.599263:0.301091:0.000000
0:@0.658950:0.316761:0.667942:0.316761:0.667942:0.301091:0.658950:0.301091:0.000000
0:@0.599263:0.339788:0.608255:0.339788:0.608255:0.324118:0.599263:0.324118:0.000000
0:@0.658950:0.339788:0.667942:0.339788:0.667942:0.324118:0.658950:0.324118:0.000000
:@0.555976:0.305849:0.583065:0.305849:0.583065:0.289100:0.555976:0.289100:0.000000:0.000000
 :@0.635189:0.305849:0.667242:0.306167:0.667242:0.289418:0.635189:0.289100:0.000000:0.000000:0.000000
:@0.555968:0.328868:0.583056:0.328868:0.583056:0.312120:0.555968:0.312120:0.000000:0.000000
 :@0.635181:0.328868:0.667234:0.329187:0.667234:0.312438:0.635181:0.312120:0.000000:0.000000:0.000000
⋅ = ⇔ =:@0.566121:0.317445:0.656398:0.317445:0.656398:0.301872:0.566121:0.301872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅ > ⇔≠:@0.566140:0.340472:0.656417:0.340472:0.656417:0.324899:0.566140:0.324899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎧:@0.543842:0.314070:0.552946:0.314070:0.552946:0.298497:0.543842:0.298497:0.000000
⎨:@0.543842:0.327942:0.552946:0.327942:0.552946:0.312369:0.543842:0.312369:0.000000
⎪:@0.543842:0.317458:0.552946:0.317458:0.552946:0.301886:0.543842:0.301886:0.000000
⎩:@0.543842:0.342173:0.552946:0.342173:0.552946:0.326600:0.543842:0.326600:0.000000
⎪:@0.543842:0.339545:0.552946:0.339545:0.552946:0.323973:0.543842:0.323973:0.000000
AA:@0.554475:0.316781:0.583904:0.316781:0.583904:0.301388:0.554475:0.301388:0.000000:0.000000
A:@0.633688:0.316781:0.643584:0.316781:0.643584:0.301388:0.633688:0.301388:0.000000
AA:@0.554475:0.339808:0.583904:0.339808:0.583904:0.324415:0.554475:0.324415:0.000000:0.000000
A:@0.633688:0.339808:0.643584:0.339808:0.643584:0.324415:0.633688:0.324415:0.000000
Longitud o norma :@0.122474:0.410767:0.267997:0.410767:0.267997:0.393866:0.122474:0.393866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un vector:@0.122474:0.427363:0.221834:0.427363:0.221834:0.410462:0.122474:0.410462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La norma de un vector es la distanca en línea recta entre dos puntos A y B que :@0.277580:0.371516:0.876937:0.371516:0.876937:0.355127:0.277580:0.355127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
delimitan al vector.:@0.277580:0.388112:0.416283:0.388112:0.416283:0.371724:0.277580:0.371724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.277580:0.412039:0.317439:0.412039:0.317439:0.395650:0.277580:0.395650:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.363503:0.411921:0.366709:0.411921:0.366709:0.395532:0.363503:0.395532:0.000000
,  la longitud o norma de  ::@0.425014:0.411921:0.626673:0.412045:0.626673:0.395656:0.425014:0.395532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.417687:0.404258:0.422898:0.404258:0.422898:0.394760:0.417687:0.394760:0.000000
:@0.323036:0.401005:0.330591:0.401005:0.330591:0.384256:0.323036:0.384256:0.000000
:@0.403603:0.412792:0.416908:0.412792:0.416908:0.396044:0.403603:0.396044:0.000000
(:@0.346802:0.415053:0.352939:0.415053:0.352939:0.395119:0.346802:0.395119:0.000000
):@0.377945:0.415053:0.384081:0.415053:0.384081:0.395119:0.377945:0.395119:0.000000
=:@0.334134:0.412598:0.344251:0.412598:0.344251:0.397025:0.334134:0.397025:0.000000
∈:@0.387114:0.412598:0.400252:0.412598:0.400252:0.397025:0.387114:0.397025:0.000000
A:@0.321516:0.411921:0.331412:0.411921:0.331412:0.395559:0.321516:0.395559:0.000000
a b:@0.353617:0.411921:0.377334:0.411921:0.377334:0.395559:0.353617:0.395559:0.000000:0.000000:0.000000
:@0.613725:0.399872:0.621280:0.399872:0.621280:0.383124:0.613725:0.383124:0.000000
A:@0.612214:0.410784:0.622109:0.410784:0.622109:0.394423:0.612214:0.394423:0.000000
2:@0.413688:0.429573:0.418900:0.429573:0.418900:0.420075:0.413688:0.420075:0.000000
2:@0.444424:0.429573:0.449636:0.429573:0.449636:0.420075:0.444424:0.420075:0.000000
:@0.288621:0.426318:0.245021:0.426318:0.245021:0.409570:0.288621:0.409570:0.000000
:@0.339776:0.426318:0.296177:0.426318:0.296177:0.409570:0.339776:0.409570:0.000000
:@0.359291:0.426318:0.366847:0.426318:0.366847:0.409570:0.359291:0.409570:0.000000
(:@0.330345:0.443350:0.336481:0.443350:0.336481:0.417655:0.330345:0.417655:0.000000
):@0.368048:0.443350:0.374184:0.443350:0.374184:0.417655:0.368048:0.417655:0.000000
=:@0.305164:0.437912:0.315281:0.437912:0.315281:0.422339:0.305164:0.422339:0.000000
⋅:@0.349925:0.437912:0.354532:0.437912:0.354532:0.422339:0.349925:0.422339:0.000000
=:@0.378298:0.437912:0.388415:0.437912:0.388415:0.422339:0.378298:0.422339:0.000000
+:@0.422433:0.437912:0.432549:0.437912:0.432549:0.422339:0.422433:0.422339:0.000000
A:@0.287103:0.437234:0.296999:0.437234:0.296999:0.420873:0.287103:0.420873:0.000000
A A:@0.338259:0.437234:0.367669:0.437234:0.367669:0.420873:0.338259:0.420873:0.000000:0.000000:0.000000
a:@0.403842:0.437234:0.413112:0.437234:0.413112:0.420873:0.403842:0.420873:0.000000
b:@0.434580:0.437234:0.443849:0.437234:0.443849:0.420873:0.434580:0.420873:0.000000
Esta longitud es desde el origien hasta A.:@0.277576:0.468712:0.576541:0.468712:0.576541:0.452323:0.277576:0.452323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distancia entre :@0.122471:0.504920:0.246192:0.504920:0.246192:0.488019:0.122471:0.488019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos puntos:@0.122471:0.521516:0.211217:0.521516:0.211217:0.504615:0.122471:0.504615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.277576:0.497216:0.317435:0.497216:0.317435:0.480827:0.277576:0.480827:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.363503:0.497240:0.366709:0.497240:0.366709:0.480851:0.363503:0.480851:0.000000
,:@0.385542:0.497240:0.388749:0.497240:0.388749:0.480851:0.385542:0.480851:0.000000
,:@0.431663:0.497240:0.434870:0.497240:0.434870:0.480851:0.431663:0.480851:0.000000
,  distancia de  a ::@0.494336:0.497240:0.639969:0.497212:0.639969:0.480823:0.494336:0.480851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.487000:0.489578:0.492211:0.489578:0.492211:0.480080:0.487000:0.480080:0.000000
:@0.323036:0.486324:0.330591:0.486324:0.330591:0.469576:0.323036:0.469576:0.000000
:@0.392342:0.486324:0.399897:0.486324:0.399897:0.469576:0.392342:0.469576:0.000000
:@0.472916:0.498111:0.486221:0.498111:0.486221:0.481363:0.472916:0.481363:0.000000
(:@0.346802:0.500372:0.352939:0.500372:0.352939:0.480438:0.346802:0.480438:0.000000
):@0.377945:0.500372:0.384081:0.500372:0.384081:0.480438:0.377945:0.480438:0.000000
(:@0.416109:0.500372:0.422245:0.500372:0.422245:0.480438:0.416109:0.480438:0.000000
):@0.447251:0.500372:0.453388:0.500372:0.453388:0.480438:0.447251:0.480438:0.000000
=:@0.334134:0.497918:0.344251:0.497918:0.344251:0.482345:0.334134:0.482345:0.000000
=:@0.403440:0.497918:0.413557:0.497918:0.413557:0.482345:0.403440:0.482345:0.000000
∈:@0.456420:0.497918:0.469559:0.497918:0.469559:0.482345:0.456420:0.482345:0.000000
A:@0.321511:0.497240:0.331407:0.497240:0.331407:0.480879:0.321511:0.480879:0.000000
a bB:@0.353612:0.497240:0.398944:0.497240:0.398944:0.480879:0.353612:0.480879:0.000000:0.000000:0.000000:0.000000
cd:@0.422918:0.497240:0.445861:0.497240:0.445861:0.480879:0.422918:0.480879:0.000000:0.000000
. .:@0.611460:0.497212:0.625668:0.497212:0.625668:0.480823:0.611460:0.480823:0.000000:0.000000:0.000000
:@0.603518:0.486300:0.635674:0.486300:0.635674:0.469552:0.603518:0.469552:0.000000:0.000000
AB:@0.602007:0.497212:0.634734:0.497212:0.634734:0.480851:0.602007:0.480851:0.000000:0.000000
,:@0.310190:0.527224:0.313396:0.527224:0.313396:0.510835:0.310190:0.510835:0.000000
–:@0.366578:0.527224:0.375792:0.527224:0.375792:0.510835:0.366578:0.510835:0.000000
–:@0.441174:0.527224:0.450387:0.527224:0.450387:0.510835:0.441174:0.510835:0.000000
–:@0.507826:0.527224:0.517040:0.527224:0.517040:0.510835:0.507826:0.510835:0.000000
2:@0.468396:0.517676:0.473608:0.517676:0.473608:0.508178:0.468396:0.508178:0.000000
2:@0.536981:0.517676:0.542193:0.517676:0.542193:0.508178:0.536981:0.508178:0.000000
:@0.301447:0.516308:0.324555:0.516308:0.324555:0.499560:0.301447:0.499560:0.000000:0.000000
:@0.355624:0.516308:0.388094:0.516308:0.388094:0.499560:0.355624:0.499560:0.000000:0.000000
( ):@0.292024:0.533339:0.331883:0.533339:0.331883:0.507644:0.292024:0.507644:0.000000:0.000000:0.000000
(:@0.422273:0.530356:0.428410:0.530356:0.428410:0.510422:0.422273:0.510422:0.000000
) (:@0.462003:0.530356:0.495419:0.530356:0.495419:0.510422:0.462003:0.510422:0.000000:0.000000:0.000000
):@0.530598:0.530356:0.536734:0.530356:0.536734:0.510422:0.530598:0.510422:0.000000
=:@0.334533:0.527902:0.344650:0.527902:0.344650:0.512329:0.334533:0.512329:0.000000
=:@0.397095:0.527902:0.407211:0.527902:0.407211:0.512329:0.397095:0.512329:0.000000
+:@0.477144:0.527902:0.487261:0.527902:0.487261:0.512329:0.477144:0.512329:0.000000
dA B:@0.280558:0.527224:0.323587:0.527224:0.323587:0.510863:0.280558:0.510863:0.000000:0.000000:0.000000:0.000000
A B:@0.354103:0.527224:0.387144:0.527224:0.387144:0.510863:0.354103:0.510863:0.000000:0.000000:0.000000
a c:@0.429085:0.527224:0.460928:0.527224:0.460928:0.510863:0.429085:0.510863:0.000000:0.000000:0.000000
b d:@0.495719:0.527224:0.529166:0.527224:0.529166:0.510863:0.495719:0.510863:0.000000:0.000000:0.000000
Ortogonalidad:@0.122468:0.625336:0.240312:0.625336:0.240312:0.608436:0.122468:0.608436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.277573:0.566654:0.296314:0.566654:0.296314:0.549518:0.277573:0.549518:0.000000:0.000000:0.000000
Sean  ,:@0.306062:0.566654:0.363476:0.566655:0.363476:0.550267:0.306062:0.550265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  es ortogonal o perpendicular a :@0.416437:0.566655:0.670927:0.566655:0.670927:0.550267:0.416437:0.550267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.409113:0.558993:0.414324:0.558993:0.414324:0.549495:0.409113:0.549495:0.000000
:@0.351526:0.555740:0.374635:0.555740:0.374635:0.538991:0.351526:0.538991:0.000000:0.000000
:@0.395031:0.567527:0.408335:0.567527:0.408335:0.550778:0.395031:0.550778:0.000000
:@0.423981:0.555740:0.431536:0.555740:0.431536:0.538991:0.423981:0.538991:0.000000
∈:@0.378540:0.567333:0.391679:0.567333:0.391679:0.551760:0.378540:0.551760:0.000000
AB:@0.350014:0.566655:0.373675:0.566655:0.373675:0.550294:0.350014:0.550294:0.000000:0.000000
A:@0.422471:0.566655:0.432367:0.566655:0.432367:0.550294:0.422471:0.550294:0.000000
,  si :@0.739755:0.565784:0.765093:0.566655:0.765093:0.550267:0.739755:0.549395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.675781:0.554868:0.702280:0.554868:0.702280:0.538120:0.675781:0.538120:0.000000:0.000000
:@0.723416:0.554868:0.730972:0.554868:0.730972:0.538120:0.723416:0.538120:0.000000
(:@0.685310:0.571901:0.691446:0.571901:0.691446:0.546205:0.685310:0.546205:0.000000
):@0.732171:0.571901:0.738307:0.571901:0.738307:0.546205:0.732171:0.546205:0.000000
⊥:@0.706198:0.566462:0.718324:0.566462:0.718324:0.550889:0.706198:0.550889:0.000000
BA B:@0.673526:0.565784:0.730007:0.565784:0.730007:0.549423:0.673526:0.549423:0.000000:0.000000:0.000000:0.000000
0.  :@0.813258:0.567485:0.832789:0.566655:0.832789:0.550267:0.813258:0.551096:0.000000:0.000000:0.000000:0.000000
:@0.770690:0.556573:0.797041:0.556573:0.797041:0.539825:0.770690:0.539825:0.000000:0.000000
⋅=:@0.780843:0.568163:0.810696:0.568163:0.810696:0.552590:0.780843:0.552590:0.000000:0.000000
AB:@0.769160:0.567485:0.796065:0.567485:0.796065:0.551124:0.769160:0.551124:0.000000:0.000000
Sean :@0.306072:0.588369:0.345931:0.588369:0.345931:0.571980:0.306072:0.571980:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.400108:0.587116:0.403315:0.587116:0.403315:0.571446:0.400108:0.571446:0.000000
y:@0.404236:0.587116:0.412344:0.587116:0.412344:0.571446:0.404236:0.571446:0.000000
.:@0.412602:0.587116:0.415809:0.587116:0.415809:0.571446:0.412602:0.571446:0.000000
.:@0.465379:0.587116:0.468585:0.587116:0.468585:0.571446:0.465379:0.571446:0.000000
con:@0.468770:0.587116:0.496301:0.587116:0.496301:0.571446:0.468770:0.571446:0.000000:0.000000:0.000000
.:@0.495158:0.587116:0.498365:0.587116:0.498365:0.571446:0.495158:0.571446:0.000000
,:@0.538758:0.587116:0.541964:0.587116:0.541964:0.571446:0.538758:0.571446:0.000000
2:@0.393565:0.579453:0.398777:0.579453:0.398777:0.570372:0.393565:0.570372:0.000000
2:@0.458850:0.579453:0.464061:0.579453:0.464061:0.570372:0.458850:0.570372:0.000000
:@0.351526:0.576200:0.359082:0.576200:0.359082:0.559451:0.351526:0.559451:0.000000
:@0.379481:0.587987:0.327497:0.587987:0.327497:0.571238:0.379481:0.571238:0.000000
:@0.444770:0.587987:0.392786:0.587987:0.392786:0.571238:0.444770:0.571238:0.000000
∈:@0.362988:0.587793:0.376127:0.587793:0.376127:0.572220:0.362988:0.572220:0.000000
⊂:@0.428272:0.587793:0.441411:0.587793:0.441411:0.572220:0.428272:0.572220:0.000000
≠∅:@0.510465:0.587793:0.538309:0.587793:0.538309:0.572220:0.510465:0.572220:0.000000:0.000000
A:@0.350009:0.587116:0.359904:0.587116:0.359904:0.571722:0.350009:0.571722:0.000000
S:@0.416385:0.587116:0.424456:0.587116:0.424456:0.571722:0.416385:0.571722:0.000000
S:@0.498943:0.587116:0.507014:0.587116:0.507014:0.571722:0.498943:0.571722:0.000000
 se dice que :@0.545112:0.588373:0.636808:0.588373:0.636808:0.571984:0.545112:0.571984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  si  :@0.678372:0.588373:0.708220:0.588373:0.708220:0.571984:0.678372:0.571984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.642408:0.577457:0.649964:0.577457:0.649964:0.560708:0.642408:0.560708:0.000000
⊥:@0.653874:0.589051:0.665999:0.589051:0.665999:0.573478:0.653874:0.573478:0.000000
AS:@0.640889:0.588373:0.677283:0.588373:0.677283:0.572012:0.640889:0.572012:0.000000:0.000000
0:@0.756383:0.588373:0.765376:0.588373:0.765376:0.571984:0.756383:0.571984:0.000000
...:@0.765173:0.588373:0.774461:0.588373:0.774461:0.571984:0.765173:0.571984:0.000000:0.000000:0.000000
.:@0.826261:0.588373:0.829467:0.588373:0.829467:0.571984:0.826261:0.571984:0.000000
:@0.713815:0.577461:0.740167:0.577461:0.740167:0.560712:0.713815:0.560712:0.000000:0.000000
:@0.789940:0.577461:0.797495:0.577461:0.797495:0.560712:0.789940:0.560712:0.000000
⋅=:@0.723969:0.589051:0.753822:0.589051:0.753822:0.573478:0.723969:0.573478:0.000000:0.000000
∀∈:@0.774645:0.589051:0.814541:0.589051:0.814541:0.573478:0.774645:0.573478:0.000000:0.000000
AB:@0.712286:0.588373:0.739190:0.588373:0.739190:0.572012:0.712286:0.572012:0.000000:0.000000
B:@0.787673:0.588373:0.796519:0.588373:0.796519:0.572012:0.787673:0.572012:0.000000
S:@0.817876:0.588373:0.825948:0.588373:0.825948:0.572012:0.817876:0.572012:0.000000
2. :@0.277575:0.611048:0.296316:0.611048:0.296316:0.593913:0.277575:0.593913:0.000000:0.000000:0.000000
Sean  ,   dos subconjuntos no vacíos de :@0.306064:0.611048:0.584229:0.611048:0.584229:0.594659:0.306064:0.594659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R S:@0.343159:0.611048:0.365769:0.611048:0.365769:0.594687:0.343159:0.594687:0.000000:0.000000:0.000000
,:@0.606682:0.611048:0.609706:0.611048:0.609706:0.594659:0.606682:0.594659:0.000000
2:@0.599770:0.603386:0.604685:0.603386:0.604685:0.593888:0.599770:0.593888:0.000000
:@0.586489:0.611920:0.599036:0.611920:0.599036:0.595171:0.586489:0.595171:0.000000
→⊥:@0.610576:0.611726:0.653815:0.611726:0.653815:0.596153:0.610576:0.596153:0.000000:0.000000
R S:@0.630475:0.611048:0.664451:0.611048:0.664451:0.594687:0.630475:0.594687:0.000000:0.000000:0.000000
 si :@0.666309:0.611048:0.685105:0.611048:0.685105:0.594659:0.666309:0.594659:0.000000:0.000000:0.000000:0.000000
0:@0.731501:0.611048:0.740164:0.611048:0.740164:0.594659:0.731501:0.594659:0.000000
...:@0.739969:0.611048:0.748916:0.611048:0.748916:0.594659:0.739969:0.594659:0.000000:0.000000:0.000000
,:@0.803662:0.611048:0.806751:0.611048:0.806751:0.594659:0.803662:0.594659:0.000000
...:@0.807639:0.611048:0.816586:0.611048:0.816586:0.594659:0.807639:0.594659:0.000000:0.000000:0.000000
.:@0.866486:0.611048:0.869575:0.611048:0.869575:0.594659:0.866486:0.594659:0.000000
:@0.690477:0.600136:0.715862:0.600136:0.715862:0.583388:0.690477:0.583388:0.000000:0.000000
:@0.763099:0.600136:0.770378:0.600136:0.770378:0.583388:0.763099:0.583388:0.000000
:@0.790029:0.611920:0.802846:0.611920:0.802846:0.595171:0.790029:0.595171:0.000000
:@0.831479:0.600136:0.838758:0.600136:0.838758:0.583388:0.831479:0.583388:0.000000
⋅=:@0.700258:0.611726:0.729016:0.611726:0.729016:0.596153:0.700258:0.596153:0.000000:0.000000
∀∈:@0.749075:0.611726:0.786798:0.611726:0.786798:0.596153:0.749075:0.596153:0.000000:0.000000
∀∈:@0.816763:0.611726:0.855196:0.611726:0.855196:0.596153:0.816763:0.596153:0.000000:0.000000
AB:@0.689021:0.611048:0.714939:0.611048:0.714939:0.594687:0.689021:0.594687:0.000000:0.000000
A:@0.761644:0.611048:0.771176:0.611048:0.771176:0.594687:0.761644:0.594687:0.000000
B:@0.829331:0.611048:0.837852:0.611048:0.837852:0.594687:0.829331:0.594687:0.000000
S:@0.858427:0.611048:0.866202:0.611048:0.866202:0.594687:0.858427:0.594687:0.000000
3. :@0.277575:0.633722:0.296316:0.633722:0.296316:0.616587:0.277575:0.616587:0.000000:0.000000:0.000000
Sean :@0.306064:0.633722:0.345923:0.633722:0.345923:0.617334:0.306064:0.617334:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.391367:0.626061:0.396579:0.626061:0.396579:0.616980:0.391367:0.616980:0.000000
:@0.377285:0.634594:0.390590:0.634594:0.390590:0.617845:0.377285:0.617845:0.000000
⊂:@0.360792:0.634400:0.373931:0.634400:0.373931:0.618827:0.360792:0.618827:0.000000
S:@0.348906:0.633722:0.356978:0.633722:0.356978:0.618329:0.348906:0.618329:0.000000
 con :@0.399534:0.633722:0.435505:0.633722:0.435505:0.617334:0.399534:0.617334:0.000000:0.000000:0.000000:0.000000:0.000000
.    es ortogonal si: :@0.477541:0.633722:0.615160:0.633722:0.615160:0.617334:0.477541:0.617334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠∅:@0.450010:0.634400:0.477855:0.634400:0.477855:0.618827:0.450010:0.618827:0.000000:0.000000
S:@0.438493:0.633722:0.446564:0.633722:0.446564:0.617361:0.438493:0.617361:0.000000
S:@0.488122:0.633722:0.496193:0.633722:0.496193:0.617361:0.488122:0.617361:0.000000
0:@0.663322:0.633722:0.672315:0.633722:0.672315:0.617334:0.663322:0.617334:0.000000
...:@0.672112:0.633722:0.681400:0.633722:0.681400:0.617334:0.672112:0.617334:0.000000:0.000000:0.000000
,:@0.704876:0.633722:0.708083:0.633722:0.708083:0.617334:0.704876:0.617334:0.000000
.:@0.748015:0.633722:0.751222:0.633722:0.751222:0.617334:0.748015:0.617334:0.000000
.:@0.777021:0.633722:0.780227:0.633722:0.780227:0.617334:0.777021:0.617334:0.000000
.:@0.817377:0.633722:0.820584:0.633722:0.820584:0.617334:0.817377:0.617334:0.000000
:@0.620761:0.622807:0.647112:0.622807:0.647112:0.606058:0.620761:0.606058:0.000000:0.000000
:@0.696148:0.622807:0.719257:0.622807:0.719257:0.606058:0.696148:0.606058:0.000000:0.000000
:@0.783422:0.622807:0.764957:0.622807:0.764957:0.606058:0.783422:0.606058:0.000000
:@0.809441:0.622807:0.790977:0.622807:0.790977:0.606058:0.809441:0.606058:0.000000
⋅=:@0.630916:0.634400:0.660769:0.634400:0.660769:0.618827:0.630916:0.618827:0.000000:0.000000
∀:@0.681592:0.634400:0.694731:0.634400:0.694731:0.618827:0.681592:0.618827:0.000000
∈:@0.723165:0.634400:0.736304:0.634400:0.736304:0.618827:0.723165:0.618827:0.000000
≠:@0.794517:0.634400:0.804634:0.634400:0.804634:0.618827:0.794517:0.618827:0.000000
AB:@0.619252:0.633722:0.646156:0.633722:0.646156:0.617361:0.619252:0.617361:0.000000:0.000000
AB:@0.694639:0.633722:0.718300:0.633722:0.718300:0.617361:0.694639:0.617361:0.000000:0.000000
Scon AB:@0.739658:0.633722:0.816025:0.633722:0.816025:0.617361:0.739658:0.617361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.277576:0.657655:0.296317:0.657655:0.296317:0.640519:0.277576:0.640519:0.000000:0.000000:0.000000
Sean :@0.306065:0.657655:0.345924:0.657655:0.345924:0.641266:0.306065:0.641266:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.397262:0.657655:0.400469:0.657655:0.400469:0.641985:0.397262:0.641985:0.000000
con:@0.400671:0.657655:0.428202:0.657655:0.428202:0.641985:0.400671:0.641985:0.000000:0.000000:0.000000
.:@0.427060:0.657655:0.430266:0.657655:0.430266:0.641985:0.427060:0.641985:0.000000
.:@0.469885:0.657655:0.473092:0.657655:0.473092:0.641985:0.469885:0.641985:0.000000
2:@0.390719:0.649993:0.395930:0.649993:0.395930:0.640912:0.390719:0.640912:0.000000
:@0.376637:0.658526:0.389941:0.658526:0.389941:0.641778:0.376637:0.641778:0.000000
⊂:@0.360144:0.658333:0.373283:0.658333:0.373283:0.642760:0.360144:0.642760:0.000000
≠∅:@0.442337:0.658333:0.470181:0.658333:0.470181:0.642760:0.442337:0.642760:0.000000:0.000000
S:@0.348258:0.657655:0.356329:0.657655:0.356329:0.642262:0.348258:0.642262:0.000000
S:@0.430814:0.657655:0.438885:0.657655:0.438885:0.642262:0.430814:0.642262:0.000000
  El complemento ortogonal de :@0.473348:0.657655:0.704245:0.657655:0.704245:0.641266:0.473348:0.641266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,  se define como :@0.749547:0.656398:0.876820:0.657656:0.876820:0.641268:0.749547:0.640009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.716514:0.661792:0.748099:0.661792:0.748099:0.637187:0.716514:0.637187:0.000000:0.000000:0.000000
⊥:@0.732637:0.649128:0.739664:0.649128:0.739664:0.640103:0.732637:0.640103:0.000000
SS:@0.706567:0.656398:0.731389:0.656398:0.731389:0.640037:0.706567:0.640037:0.000000:0.000000
 :@0.277571:0.682841:0.281478:0.682841:0.281478:0.666217:0.277571:0.666217:0.000000
el conjunto: :@0.306060:0.682841:0.397073:0.682841:0.397073:0.666453:0.306060:0.666453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.543244:0.681587:0.557139:0.681587:0.557139:0.665198:0.543244:0.665198:0.000000:0.000000
...:@0.558060:0.681587:0.567348:0.681587:0.567348:0.665198:0.558060:0.665198:0.000000:0.000000:0.000000
2:@0.486707:0.673926:0.491918:0.673926:0.491918:0.664427:0.486707:0.664427:0.000000
:@0.444668:0.670671:0.452223:0.670671:0.452223:0.653922:0.444668:0.653922:0.000000
:@0.472623:0.682458:0.485928:0.682458:0.485928:0.665709:0.472623:0.665709:0.000000
:@0.500683:0.670671:0.527035:0.670671:0.527035:0.653922:0.500683:0.653922:0.000000:0.000000
:@0.582815:0.670671:0.590370:0.670671:0.590370:0.653922:0.582815:0.653922:0.000000
{:@0.432941:0.687786:0.441787:0.687786:0.441787:0.661779:0.432941:0.661779:0.000000
}:@0.619153:0.687786:0.627998:0.687786:0.627998:0.661779:0.619153:0.661779:0.000000
=:@0.421057:0.682264:0.431174:0.682264:0.431174:0.666691:0.421057:0.666691:0.000000
∈:@0.456125:0.682264:0.469264:0.682264:0.469264:0.666691:0.456125:0.666691:0.000000
⋅=:@0.510837:0.682264:0.540689:0.682264:0.540689:0.666691:0.510837:0.666691:0.000000:0.000000
∀∈:@0.567539:0.682264:0.607434:0.682264:0.607434:0.666691:0.567539:0.666691:0.000000:0.000000
⊥:@0.409383:0.674318:0.416410:0.674318:0.416410:0.665293:0.409383:0.665293:0.000000
S:@0.400065:0.681587:0.408136:0.681587:0.408136:0.665225:0.400065:0.665225:0.000000
A:@0.443149:0.681587:0.453044:0.681587:0.453044:0.665225:0.443149:0.665225:0.000000
AB:@0.499169:0.681587:0.526073:0.681587:0.526073:0.665225:0.499169:0.665225:0.000000:0.000000
B:@0.580572:0.681587:0.589417:0.681587:0.589417:0.665225:0.580572:0.665225:0.000000
S:@0.610775:0.681587:0.618846:0.681587:0.618846:0.665225:0.610775:0.665225:0.000000