105:@0.917174:0.506059:0.945535:0.506059:0.945535:0.489435:0.917174:0.489435:0.000000:0.000000:0.000000
Tema:@0.916251:0.135535:0.952383:0.135535:0.952383:0.113808:0.916251:0.113808:0.000000:0.000000:0.000000:0.000000
8:@0.923199:0.122704:0.945432:0.122704:0.945432:0.065673:0.923199:0.065673:0.000000
Actividad resuelta:@0.115281:0.665628:0.272404:0.665628:0.272404:0.647191:0.115281:0.647191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.115281:0.686611:0.155140:0.686611:0.155140:0.670222:0.115281:0.670222:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.183409:0.689863:0.189546:0.689863:0.189546:0.669930:0.183409:0.669930:0.000000
):@0.222144:0.689863:0.228281:0.689863:0.228281:0.669930:0.222144:0.669930:0.000000
(:@0.264454:0.689863:0.270591:0.689863:0.270591:0.669930:0.264454:0.669930:0.000000
):@0.333079:0.689863:0.339215:0.689863:0.339215:0.669930:0.333079:0.669930:0.000000
=:@0.170740:0.687408:0.180856:0.687408:0.180856:0.671835:0.170740:0.671835:0.000000
=:@0.251784:0.687408:0.261901:0.687408:0.261901:0.671835:0.251784:0.671835:0.000000
:@0.159646:0.678404:0.086157:0.678404:0.086157:0.661656:0.159646:0.661656:0.000000
:@0.240691:0.678404:0.167201:0.678404:0.167201:0.661656:0.240691:0.661656:0.000000
u:@0.157756:0.686730:0.167081:0.686730:0.167081:0.670369:0.157756:0.670369:0.000000
v:@0.238801:0.686730:0.246541:0.686730:0.246541:0.670369:0.238801:0.670369:0.000000
1,2,3,:@0.188696:0.686730:0.232941:0.686730:0.232941:0.670341:0.188696:0.670341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.234655:0.686730:0.237861:0.686730:0.237861:0.670341:0.234655:0.670341:0.000000
–1,–2,–3 . :@0.271252:0.686730:0.346807:0.686611:0.346807:0.670222:0.271252:0.670341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos:@0.346807:0.686611:0.448215:0.686611:0.448215:0.669987:0.346807:0.669987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el vector :@0.448215:0.686611:0.519548:0.686611:0.519548:0.670222:0.448215:0.670222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.538600:0.686913:0.548717:0.686913:0.548717:0.671340:0.538600:0.671340:0.000000
+:@0.571696:0.686913:0.581813:0.686913:0.581813:0.671340:0.571696:0.671340:0.000000
:@0.526143:0.677909:0.498299:0.677909:0.498299:0.661161:0.526143:0.661161:0.000000
:@0.561543:0.677909:0.533699:0.677909:0.533699:0.661161:0.561543:0.661161:0.000000
:@0.594104:0.677909:0.601660:0.677909:0.601660:0.661161:0.594104:0.661161:0.000000
w:@0.521758:0.686235:0.534491:0.686235:0.534491:0.669874:0.521758:0.669874:0.000000
u:@0.559663:0.686235:0.568988:0.686235:0.568988:0.669874:0.559663:0.669874:0.000000
v:@0.592225:0.686235:0.599964:0.686235:0.599964:0.669874:0.592225:0.669874:0.000000
3:@0.551279:0.686235:0.560271:0.686235:0.560271:0.669846:0.551279:0.669846:0.000000
2 .:@0.583840:0.686235:0.605272:0.686235:0.605272:0.669846:0.583840:0.669846:0.000000:0.000000:0.000000
Solución:@0.115281:0.710336:0.184496:0.710336:0.184496:0.693435:0.115281:0.693435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.156534:0.758566:0.162670:0.758566:0.162670:0.738633:0.156534:0.738633:0.000000
):@0.195268:0.758566:0.201405:0.758566:0.201405:0.738633:0.195268:0.738633:0.000000
(:@0.225213:0.758566:0.231350:0.758566:0.231350:0.738633:0.225213:0.738633:0.000000
) (:@0.293838:0.758566:0.321442:0.758566:0.321442:0.738633:0.293838:0.738633:0.000000:0.000000:0.000000
) (:@0.359016:0.758566:0.385164:0.758566:0.385164:0.738633:0.359016:0.738633:0.000000:0.000000:0.000000
):@0.451908:0.758566:0.458045:0.758566:0.458045:0.738633:0.451908:0.738633:0.000000
(:@0.147006:0.781591:0.153143:0.781591:0.153143:0.761658:0.147006:0.761658:0.000000
):@0.185741:0.781591:0.191878:0.781591:0.191878:0.761658:0.185741:0.761658:0.000000
=:@0.134337:0.734384:0.144453:0.734384:0.144453:0.718812:0.134337:0.718812:0.000000
+:@0.167433:0.734384:0.177549:0.734384:0.177549:0.718812:0.167433:0.718812:0.000000
=:@0.134337:0.756112:0.144453:0.756112:0.144453:0.740539:0.134337:0.740539:0.000000
+:@0.203127:0.756112:0.213244:0.756112:0.213244:0.740539:0.203127:0.740539:0.000000
=:@0.302655:0.756112:0.312771:0.756112:0.312771:0.740539:0.302655:0.740539:0.000000
+:@0.366893:0.756112:0.377010:0.756112:0.377010:0.740539:0.366893:0.740539:0.000000
=:@0.134337:0.779139:0.144453:0.779139:0.144453:0.763566:0.134337:0.763566:0.000000
:@0.121878:0.725383:0.094034:0.725383:0.094034:0.708635:0.121878:0.708635:0.000000
:@0.157277:0.725383:0.129433:0.725383:0.129433:0.708635:0.157277:0.708635:0.000000
:@0.189839:0.725383:0.197394:0.725383:0.197394:0.708635:0.189839:0.708635:0.000000
:@0.121878:0.747112:0.129433:0.747112:0.129433:0.730364:0.121878:0.730364:0.000000
:@0.121878:0.770140:0.129433:0.770140:0.129433:0.753391:0.121878:0.753391:0.000000
w:@0.117480:0.733707:0.130214:0.733707:0.130214:0.717346:0.117480:0.717346:0.000000
u:@0.155386:0.733707:0.164710:0.733707:0.164710:0.717346:0.155386:0.717346:0.000000
v:@0.187947:0.733707:0.195687:0.733707:0.195687:0.717346:0.187947:0.717346:0.000000
w:@0.117480:0.755434:0.130214:0.755434:0.130214:0.739073:0.117480:0.739073:0.000000
w:@0.117480:0.778462:0.130214:0.778462:0.130214:0.762100:0.117480:0.762100:0.000000
3:@0.147006:0.733707:0.155999:0.733707:0.155999:0.717318:0.147006:0.717318:0.000000
2 ::@0.179568:0.733707:0.203708:0.733707:0.203708:0.717318:0.179568:0.717318:0.000000:0.000000:0.000000
31,2,3:@0.147006:0.755434:0.195508:0.755434:0.195508:0.739045:0.147006:0.739045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2–1,–2,–3:@0.215262:0.755434:0.294077:0.755434:0.294077:0.739045:0.215262:0.739045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,6,9:@0.321737:0.755434:0.358464:0.755434:0.358464:0.739045:0.321737:0.739045:0.000000:0.000000:0.000000:0.000000:0.000000
–2,–4,–6:@0.385810:0.755434:0.451339:0.755434:0.451339:0.739045:0.385810:0.739045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,2,3:@0.152277:0.778462:0.185981:0.778462:0.185981:0.762073:0.152277:0.762073:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de escalares por elementos de :@0.115281:0.137363:0.720730:0.137363:0.720730:0.096626:0.115281:0.096626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.721666:0.139525:0.757951:0.139525:0.757951:0.093847:0.721666:0.093847:0.000000
3:@0.760039:0.116207:0.774243:0.116207:0.774243:0.090320:0.760039:0.090320:0.000000
M.5.2.18. Realizar las operaciones de adición entre elementos de   y de producto por un número escalar de manera geométrica y analítica, aplicando propiedades :@0.124779:0.070481:0.877040:0.070481:0.877040:0.060051:0.124779:0.060051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.421866:0.070965:0.430333:0.070965:0.430333:0.060306:0.421866:0.060306:0.000000
3:@0.430765:0.065548:0.434061:0.065548:0.434061:0.059542:0.430765:0.059542:0.000000
de los números reales; y reconocer los vectores como elementos geométricos de  .:@0.124774:0.081042:0.518308:0.081042:0.518308:0.070613:0.124774:0.070613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.504550:0.081526:0.513016:0.081526:0.513016:0.070868:0.504550:0.070868:0.000000
3:@0.513448:0.076109:0.516744:0.076109:0.516744:0.070103:0.513448:0.070103:0.000000
Producto de escalares por elementos de :@0.324644:0.161671:0.645334:0.161671:0.645334:0.144771:0.324644:0.144771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.648317:0.162031:0.661622:0.162031:0.661622:0.145282:0.648317:0.145282:0.000000
3:@0.662401:0.153497:0.667612:0.153497:0.667612:0.143999:0.662401:0.143999:0.000000
Definición:@0.122401:0.226315:0.203980:0.226315:0.203980:0.209415:0.122401:0.209415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.347144:0.188324:0.387003:0.188324:0.387003:0.171935:0.347144:0.171935:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.477883:0.191248:0.484019:0.191248:0.484019:0.171315:0.477883:0.171315:0.000000
):@0.524523:0.191248:0.530660:0.191248:0.530660:0.171315:0.524523:0.171315:0.000000
∈:@0.402603:0.188794:0.415742:0.188794:0.415742:0.173221:0.402603:0.173221:0.000000
=:@0.465220:0.188794:0.475337:0.188794:0.475337:0.173221:0.465220:0.173221:0.000000
∈:@0.533697:0.188794:0.546836:0.188794:0.546836:0.173221:0.533697:0.173221:0.000000
:@0.419096:0.188987:0.432400:0.188987:0.432400:0.172239:0.419096:0.172239:0.000000
:@0.454126:0.179790:0.461682:0.179790:0.461682:0.163042:0.454126:0.163042:0.000000
:@0.550190:0.188987:0.563495:0.188987:0.563495:0.172239:0.550190:0.172239:0.000000
a:@0.389987:0.188116:0.399256:0.188116:0.399256:0.171755:0.389987:0.171755:0.000000
u:@0.452235:0.188116:0.461560:0.188116:0.461560:0.171755:0.452235:0.171755:0.000000
xy z:@0.485792:0.188116:0.523034:0.188116:0.523034:0.171755:0.485792:0.171755:0.000000:0.000000:0.000000:0.000000
,:@0.433236:0.188116:0.436443:0.188116:0.436443:0.171727:0.433236:0.171727:0.000000
y:@0.438525:0.188116:0.446633:0.188116:0.446633:0.171727:0.438525:0.171727:0.000000
,:@0.447684:0.188116:0.450890:0.188116:0.450890:0.171727:0.447684:0.171727:0.000000
,,:@0.494950:0.188116:0.513341:0.188116:0.513341:0.171727:0.494950:0.171727:0.000000:0.000000
3:@0.564263:0.180454:0.569475:0.180454:0.569475:0.170956:0.564263:0.170956:0.000000
(:@0.371906:0.239835:0.346162:0.239835:0.346162:0.219902:0.371906:0.219902:0.000000
):@0.403786:0.239835:0.378042:0.239835:0.378042:0.219902:0.403786:0.219902:0.000000
⋅:⎨:@0.349342:0.226065:0.371842:0.226342:0.371842:0.210769:0.349342:0.210492:0.000000:0.000000:0.000000
×:@0.394877:0.215651:0.404993:0.215651:0.404993:0.200078:0.394877:0.200078:0.000000
→:@0.430534:0.215651:0.448722:0.215651:0.448722:0.200078:0.430534:0.200078:0.000000
→⋅:@0.412162:0.237378:0.449183:0.237378:0.449183:0.221805:0.412162:0.221805:0.000000:0.000000
⎧:@0.362739:0.212664:0.371842:0.212664:0.371842:0.197091:0.362739:0.197091:0.000000
⎪:@0.362739:0.215858:0.371842:0.215858:0.371842:0.200286:0.362739:0.200286:0.000000
⎩:@0.362739:0.240380:0.371842:0.240380:0.371842:0.224807:0.362739:0.224807:0.000000
⎪:@0.362739:0.237752:0.371842:0.237752:0.371842:0.222179:0.362739:0.222179:0.000000
:@0.372266:0.215858:0.350448:0.215858:0.350448:0.199110:0.372266:0.199110:0.000000
:@0.407389:0.215858:0.385571:0.215858:0.385571:0.199110:0.407389:0.199110:0.000000
:@0.451626:0.215858:0.429808:0.215858:0.429808:0.199110:0.451626:0.199110:0.000000
:@0.395046:0.228381:0.344812:0.228381:0.344812:0.211633:0.395046:0.211633:0.000000
:@0.452835:0.228381:0.402601:0.228381:0.402601:0.211633:0.452835:0.211633:0.000000
au:@0.378711:0.236703:0.402482:0.236703:0.402482:0.221310:0.378711:0.221310:0.000000:0.000000
a u:@0.433258:0.236703:0.460277:0.236703:0.460277:0.221310:0.433258:0.221310:0.000000:0.000000:0.000000
,:@0.472839:0.214976:0.476045:0.214976:0.476045:0.199306:0.472839:0.199306:0.000000
,:@0.388606:0.236703:0.391813:0.236703:0.391813:0.221034:0.388606:0.221034:0.000000
3:@0.386355:0.207313:0.391566:0.207313:0.391566:0.198232:0.386355:0.198232:0.000000
3:@0.421480:0.207313:0.426692:0.207313:0.426692:0.198232:0.421480:0.198232:0.000000
3:@0.465717:0.207313:0.470929:0.207313:0.470929:0.198232:0.465717:0.198232:0.000000
(:@0.437188:0.272087:0.443325:0.272087:0.443325:0.252154:0.437188:0.252154:0.000000
):@0.508540:0.272087:0.514676:0.272087:0.514676:0.252154:0.508540:0.252154:0.000000
⋅= ⋅=:@0.361435:0.269633:0.434630:0.269633:0.434630:0.254060:0.361435:0.254060:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.586807:0.269633:0.599946:0.269633:0.599946:0.254060:0.586807:0.254060:0.000000
∈:@0.640266:0.269633:0.653405:0.269633:0.653405:0.254060:0.640266:0.254060:0.000000
:@0.369711:0.260630:0.402918:0.260630:0.402918:0.243881:0.369711:0.243881:0.000000:0.000000
:@0.603298:0.269827:0.616603:0.269827:0.616603:0.253078:0.603298:0.253078:0.000000
:@0.628794:0.260632:0.636349:0.260632:0.636349:0.243884:0.628794:0.243884:0.000000
:@0.656750:0.269827:0.670055:0.269827:0.670055:0.253078:0.656750:0.253078:0.000000
au ua:@0.350133:0.268956:0.421540:0.268956:0.421540:0.252594:0.350133:0.252594:0.000000:0.000000:0.000000:0.000000:0.000000
ax ay az:@0.443985:0.268956:0.507026:0.268956:0.507026:0.252594:0.443985:0.252594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.574191:0.268956:0.583460:0.268956:0.583460:0.252594:0.574191:0.252594:0.000000
u:@0.626912:0.268956:0.636237:0.268956:0.636237:0.252594:0.626912:0.252594:0.000000
,:@0.462369:0.268956:0.465575:0.268956:0.465575:0.252567:0.462369:0.252567:0.000000
,:@0.485661:0.268956:0.488868:0.268956:0.488868:0.252567:0.485661:0.252567:0.000000
,:@0.516141:0.268956:0.519347:0.268956:0.519347:0.252567:0.516141:0.252567:0.000000
donde:@0.520692:0.268956:0.568696:0.268956:0.568696:0.252567:0.520692:0.252567:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.569286:0.268956:0.572492:0.268956:0.572492:0.252567:0.569286:0.252567:0.000000
,:@0.617456:0.268956:0.620662:0.268956:0.620662:0.252567:0.617456:0.252567:0.000000
,:@0.622376:0.268956:0.625582:0.268956:0.625582:0.252567:0.622376:0.252567:0.000000
3:@0.670832:0.261293:0.676044:0.261293:0.676044:0.251795:0.670832:0.251795:0.000000
Propiedades:@0.122401:0.355747:0.222241:0.355747:0.222241:0.338846:0.122401:0.338846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  ,:@0.347144:0.295710:0.437377:0.295723:0.437377:0.279335:0.347144:0.279321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.451346:0.296401:0.464484:0.296401:0.464484:0.280828:0.451346:0.280828:0.000000
:@0.467838:0.296595:0.481143:0.296595:0.481143:0.279846:0.467838:0.279846:0.000000
ab:@0.424275:0.295723:0.447992:0.295723:0.447992:0.279362:0.424275:0.279362:0.000000:0.000000
y para todo  ,:@0.484954:0.295703:0.589191:0.295673:0.589191:0.279284:0.484954:0.279314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.603454:0.296351:0.616593:0.296351:0.616593:0.280778:0.603454:0.280778:0.000000
:@0.577231:0.287347:0.599547:0.287347:0.599547:0.270599:0.577231:0.270599:0.000000:0.000000
:@0.619947:0.296544:0.633251:0.296544:0.633251:0.279796:0.619947:0.279796:0.000000
uv:@0.575352:0.295673:0.597852:0.295673:0.597852:0.279312:0.575352:0.279312:0.000000:0.000000
::@0.643092:0.295673:0.646298:0.295673:0.646298:0.279284:0.643092:0.279284:0.000000
3:@0.634027:0.288012:0.639239:0.288012:0.639239:0.278514:0.634027:0.278514:0.000000
1.  :@0.347144:0.319112:0.369607:0.319112:0.369607:0.301976:0.347144:0.301976:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.383271:0.322295:0.463062:0.322295:0.463062:0.302362:0.383271:0.302362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.500489:0.322295:0.533272:0.322295:0.533272:0.302362:0.500489:0.302362:0.000000:0.000000:0.000000
=:@0.418345:0.319841:0.428462:0.319841:0.428462:0.304268:0.418345:0.304268:0.000000
=:@0.477129:0.319841:0.487246:0.319841:0.487246:0.304268:0.477129:0.304268:0.000000
:@0.400809:0.310841:0.343130:0.310841:0.343130:0.294093:0.400809:0.294093:0.000000
:@0.466042:0.310841:0.408364:0.310841:0.408364:0.294093:0.466042:0.294093:0.000000
:@0.518395:0.310841:0.525951:0.310841:0.525951:0.294093:0.518395:0.294093:0.000000
abu:@0.372591:0.319163:0.408248:0.319163:0.408248:0.302802:0.372591:0.302802:0.000000:0.000000:0.000000
abu bau:@0.437825:0.319163:0.525835:0.319163:0.525835:0.302802:0.437825:0.302802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.533943:0.319163:0.537150:0.319163:0.537150:0.302774:0.533943:0.302774:0.000000
2.  :@0.347142:0.342924:0.369606:0.342924:0.369606:0.325788:0.347142:0.325788:0.000000:0.000000:0.000000:0.000000
(:@0.372224:0.345919:0.378360:0.345919:0.378360:0.325985:0.372224:0.325985:0.000000
):@0.412378:0.345919:0.418514:0.345919:0.418514:0.325985:0.412378:0.325985:0.000000
+:@0.390338:0.343464:0.400455:0.343464:0.400455:0.327892:0.390338:0.327892:0.000000
=:@0.432593:0.343464:0.442710:0.343464:0.442710:0.327892:0.432593:0.327892:0.000000
+:@0.466868:0.343464:0.476985:0.343464:0.476985:0.327892:0.466868:0.327892:0.000000
:@0.421486:0.334463:0.393808:0.334463:0.393808:0.317715:0.421486:0.317715:0.000000
:@0.456720:0.334463:0.429041:0.334463:0.429041:0.317715:0.456720:0.317715:0.000000
:@0.490111:0.334463:0.497666:0.334463:0.497666:0.317715:0.490111:0.317715:0.000000
ab uaubu:@0.379029:0.342789:0.497555:0.342789:0.497555:0.326428:0.379029:0.326428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.498071:0.342789:0.501278:0.342789:0.501278:0.326400:0.498071:0.326400:0.000000
3.  :@0.347144:0.366652:0.369607:0.366652:0.369607:0.349516:0.347144:0.349516:0.000000:0.000000:0.000000:0.000000
(:@0.383271:0.369760:0.389407:0.369760:0.389407:0.349826:0.383271:0.349826:0.000000
):@0.424106:0.369760:0.430243:0.369760:0.430243:0.349826:0.424106:0.349826:0.000000
+:@0.401750:0.367305:0.411867:0.367305:0.411867:0.351732:0.401750:0.351732:0.000000
=:@0.432893:0.367305:0.443010:0.367305:0.443010:0.351732:0.432893:0.351732:0.000000
+:@0.467187:0.367305:0.477303:0.367305:0.477303:0.351732:0.467187:0.351732:0.000000
:@0.391595:0.358304:0.422922:0.358304:0.422922:0.341556:0.391595:0.341556:0.000000:0.000000
:@0.457031:0.358304:0.430827:0.358304:0.430827:0.341556:0.457031:0.341556:0.000000
:@0.490791:0.358304:0.464587:0.358304:0.464587:0.341556:0.490791:0.341556:0.000000
au v:@0.372596:0.366630:0.421226:0.366630:0.421226:0.350269:0.372596:0.350269:0.000000:0.000000:0.000000:0.000000
auav:@0.445938:0.366630:0.496651:0.366630:0.496651:0.350269:0.445938:0.350269:0.000000:0.000000:0.000000:0.000000
.:@0.498752:0.366630:0.501958:0.366630:0.501958:0.350241:0.498752:0.350241:0.000000
4.  :@0.347144:0.390376:0.369607:0.390376:0.369607:0.373240:0.347144:0.373240:0.000000:0.000000:0.000000:0.000000
⋅=:@0.378925:0.390711:0.407985:0.390711:0.407985:0.375138:0.378925:0.375138:0.000000:0.000000
:@0.386775:0.381708:0.419558:0.381708:0.419558:0.364959:0.386775:0.364959:0.000000:0.000000
vv:@0.384896:0.390034:0.417863:0.390034:0.417863:0.373672:0.384896:0.373672:0.000000:0.000000
1:@0.371075:0.390034:0.380067:0.390034:0.380067:0.373645:0.371075:0.373645:0.000000
.:@0.419963:0.390034:0.423170:0.390034:0.423170:0.373645:0.419963:0.373645:0.000000
5.  :@0.347144:0.414101:0.369607:0.414101:0.369607:0.396965:0.347144:0.396965:0.000000:0.000000:0.000000:0.000000
( ):@0.372224:0.417492:0.404952:0.417492:0.404952:0.397558:0.372224:0.397558:0.000000:0.000000:0.000000
=:@0.418608:0.415036:0.428725:0.415036:0.428725:0.399463:0.418608:0.399463:0.000000
:@0.407510:0.406037:0.369936:0.406037:0.369936:0.389288:0.407510:0.389288:0.000000
:@0.452639:0.406037:0.415065:0.406037:0.415065:0.389288:0.452639:0.389288:0.000000
av:@0.388916:0.414362:0.413351:0.414362:0.413351:0.398001:0.388916:0.398001:0.000000:0.000000
av:@0.441527:0.414362:0.458480:0.414362:0.458480:0.398001:0.441527:0.398001:0.000000:0.000000
–:@0.379020:0.414362:0.388234:0.414362:0.388234:0.397973:0.379020:0.397973:0.000000
–:@0.431631:0.414362:0.440845:0.414362:0.440845:0.397973:0.431631:0.397973:0.000000
.:@0.460581:0.414362:0.463788:0.414362:0.463788:0.397973:0.460581:0.397973:0.000000
6.  :@0.600963:0.320324:0.623426:0.320324:0.623426:0.303188:0.600963:0.303188:0.000000:0.000000:0.000000:0.000000
7.  :@0.600963:0.344049:0.623426:0.344049:0.623426:0.326913:0.600963:0.326913:0.000000:0.000000:0.000000:0.000000
( )( ):@0.626043:0.347156:0.692530:0.347156:0.692530:0.327222:0.626043:0.327222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.695199:0.344702:0.705315:0.344702:0.705315:0.329129:0.695199:0.329129:0.000000
:@0.677660:0.335701:0.643551:0.335701:0.643551:0.318952:0.677660:0.318952:0.000000
:@0.719325:0.335701:0.685216:0.335701:0.685216:0.318952:0.719325:0.318952:0.000000
a:@0.642740:0.344026:0.652009:0.344026:0.652009:0.327665:0.642740:0.327665:0.000000
v:@0.675781:0.344026:0.683520:0.344026:0.683520:0.327665:0.675781:0.327665:0.000000
av:@0.708232:0.344026:0.725185:0.344026:0.725185:0.327665:0.708232:0.327665:0.000000:0.000000
–:@0.632844:0.344026:0.642058:0.344026:0.642058:0.327638:0.632844:0.327638:0.000000
–:@0.666659:0.344026:0.675873:0.344026:0.675873:0.327638:0.666659:0.327638:0.000000
.:@0.727286:0.344026:0.730492:0.344026:0.730492:0.327638:0.727286:0.327638:0.000000
8.  :@0.600963:0.368959:0.623426:0.368959:0.623426:0.351823:0.600963:0.351823:0.000000:0.000000:0.000000:0.000000
(:@0.626043:0.372162:0.632179:0.372162:0.632179:0.352229:0.626043:0.352229:0.000000
):@0.666565:0.372162:0.672702:0.372162:0.672702:0.352229:0.666565:0.352229:0.000000
=:@0.686352:0.369708:0.696468:0.369708:0.696468:0.354135:0.686352:0.354135:0.000000
:@0.675253:0.360707:0.647575:0.360707:0.647575:0.343959:0.675253:0.343959:0.000000
:@0.710487:0.360707:0.682808:0.360707:0.682808:0.343959:0.710487:0.343959:0.000000
:@0.744246:0.360707:0.751802:0.360707:0.751802:0.343959:0.744246:0.343959:0.000000
ab vavbv:@0.632849:0.369030:0.750106:0.369030:0.750106:0.352669:0.632849:0.352669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.644941:0.369030:0.654155:0.369030:0.654155:0.352641:0.644941:0.352641:0.000000
–:@0.721434:0.369030:0.730648:0.369030:0.730648:0.352641:0.721434:0.352641:0.000000
.:@0.752209:0.369030:0.755415:0.369030:0.755415:0.352641:0.752209:0.352641:0.000000
9.  :@0.600955:0.392680:0.623418:0.392680:0.623418:0.375544:0.600955:0.375544:0.000000:0.000000:0.000000:0.000000
(:@0.637089:0.395767:0.643226:0.395767:0.643226:0.375833:0.637089:0.375833:0.000000
):@0.678294:0.395767:0.684430:0.395767:0.684430:0.375833:0.678294:0.375833:0.000000
=:@0.687084:0.393313:0.697200:0.393313:0.697200:0.377740:0.687084:0.377740:0.000000
:@0.645419:0.384309:0.677114:0.384309:0.677114:0.367561:0.645419:0.367561:0.000000:0.000000
:@0.711224:0.384309:0.684651:0.384309:0.684651:0.367561:0.711224:0.367561:0.000000
:@0.745352:0.384309:0.718779:0.384309:0.718779:0.367561:0.745352:0.367561:0.000000
au v:@0.626410:0.392635:0.675409:0.392635:0.675409:0.376274:0.626410:0.376274:0.000000:0.000000:0.000000:0.000000
auav:@0.700120:0.392635:0.751202:0.392635:0.751202:0.376274:0.700120:0.376274:0.000000:0.000000:0.000000:0.000000
–:@0.656355:0.392635:0.665569:0.392635:0.665569:0.376246:0.656355:0.376246:0.000000
–:@0.722160:0.392635:0.731374:0.392635:0.731374:0.376246:0.722160:0.376246:0.000000
.:@0.753309:0.392635:0.756516:0.392635:0.756516:0.376246:0.753309:0.376246:0.000000
Interpretación geométrica :@0.122402:0.528269:0.337563:0.528269:0.337563:0.511368:0.122402:0.511368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las operaciones en :@0.122402:0.546068:0.297260:0.546068:0.297260:0.529168:0.122402:0.529168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.300242:0.546991:0.313547:0.546991:0.313547:0.530243:0.300242:0.530243:0.000000
3:@0.314324:0.538458:0.319536:0.538458:0.319536:0.528960:0.314324:0.528960:0.000000
Sean :@0.347144:0.445819:0.387003:0.445819:0.387003:0.429430:0.347144:0.429430:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.415271:0.449421:0.421407:0.449421:0.421407:0.429487:0.415271:0.429487:0.000000
):@0.460087:0.449421:0.466223:0.449421:0.466223:0.429487:0.460087:0.429487:0.000000
(:@0.502378:0.449421:0.508515:0.449421:0.508515:0.429487:0.502378:0.429487:0.000000
):@0.549019:0.449421:0.555155:0.449421:0.555155:0.429487:0.549019:0.429487:0.000000
=:@0.402603:0.446965:0.412720:0.446965:0.412720:0.431393:0.402603:0.431393:0.000000
=:@0.489710:0.446965:0.499827:0.446965:0.499827:0.431393:0.489710:0.431393:0.000000
:@0.391509:0.437962:0.311957:0.437962:0.311957:0.421213:0.391509:0.421213:0.000000
:@0.478617:0.437962:0.399065:0.437962:0.399065:0.421213:0.478617:0.421213:0.000000
u:@0.389630:0.446288:0.398954:0.446288:0.398954:0.429927:0.389630:0.429927:0.000000
a bc v:@0.422081:0.446288:0.484477:0.446288:0.484477:0.429927:0.422081:0.429927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x yz:@0.510294:0.446288:0.547536:0.446288:0.547536:0.429927:0.510294:0.429927:0.000000:0.000000:0.000000:0.000000
,, ,:@0.431976:0.446288:0.470877:0.446288:0.470877:0.429899:0.431976:0.429899:0.000000:0.000000:0.000000:0.000000
,:@0.472591:0.446288:0.475797:0.446288:0.475797:0.429899:0.472591:0.429899:0.000000
,,:@0.519452:0.446288:0.537843:0.446288:0.537843:0.429899:0.519452:0.429899:0.000000:0.000000
 elementos de :@0.557876:0.445819:0.666892:0.445819:0.666892:0.429430:0.557876:0.429430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.666765:0.446553:0.680069:0.446553:0.680069:0.429805:0.666765:0.429805:0.000000
3:@0.680847:0.438021:0.686058:0.438021:0.686058:0.428523:0.680847:0.428523:0.000000
::@0.685437:0.445819:0.688643:0.445819:0.688643:0.429430:0.685437:0.429430:0.000000
(:@0.399180:0.470935:0.405317:0.470935:0.405317:0.451001:0.399180:0.451001:0.000000
):@0.515772:0.470935:0.521908:0.470935:0.521908:0.451001:0.515772:0.451001:0.000000
+=:@0.361802:0.468479:0.396631:0.468479:0.396631:0.452906:0.361802:0.452906:0.000000:0.000000
+:@0.417288:0.468479:0.427405:0.468479:0.427405:0.452906:0.417288:0.452906:0.000000
+:@0.455931:0.468479:0.466047:0.468479:0.466047:0.452906:0.455931:0.452906:0.000000
+:@0.493781:0.468479:0.503898:0.468479:0.503898:0.452906:0.493781:0.452906:0.000000
:@0.351649:0.459476:0.382976:0.459476:0.382976:0.442727:0.351649:0.442727:0.000000:0.000000
uv:@0.349769:0.467801:0.381280:0.467801:0.381280:0.451440:0.349769:0.451440:0.000000:0.000000
ax by cz:@0.405992:0.467801:0.514273:0.467801:0.514273:0.451440:0.405992:0.451440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.440065:0.467801:0.443271:0.467801:0.443271:0.451413:0.440065:0.451413:0.000000
,:@0.478707:0.467801:0.481914:0.467801:0.481914:0.451413:0.478707:0.451413:0.000000
::@0.524131:0.467801:0.527338:0.467801:0.527338:0.451413:0.524131:0.451413:0.000000
c+z:@0.476705:0.502723:0.496071:0.502723:0.496071:0.491327:0.476705:0.491327:0.000000:0.000000:0.000000
c:@0.484545:0.537264:0.490523:0.537264:0.490523:0.525867:0.484545:0.525867:0.000000
z:@0.506900:0.492001:0.512301:0.492001:0.512301:0.480605:0.506900:0.480605:0.000000
z:@0.484009:0.558396:0.489410:0.558396:0.489410:0.547000:0.484009:0.547000:0.000000
a:@0.537416:0.614603:0.543501:0.614603:0.543501:0.603206:0.537416:0.603206:0.000000
v:@0.618699:0.512942:0.624756:0.512942:0.624756:0.501546:0.618699:0.501546:0.000000
u:@0.524215:0.556455:0.531332:0.556455:0.531332:0.545059:0.524215:0.545059:0.000000
v:@0.624180:0.572297:0.630238:0.572297:0.630238:0.560901:0.624180:0.560901:0.000000
u+v:@0.613539:0.524188:0.634701:0.524188:0.634701:0.512791:0.613539:0.512791:0.000000:0.000000:0.000000
x:@0.723998:0.628544:0.729747:0.628544:0.729747:0.617147:0.723998:0.617147:0.000000
y:@0.650140:0.556877:0.656036:0.556877:0.656036:0.545481:0.650140:0.545481:0.000000
x:@0.605860:0.622820:0.611609:0.622820:0.611609:0.611424:0.605860:0.611424:0.000000
a+x:@0.636282:0.626462:0.656103:0.626462:0.656103:0.615065:0.636282:0.615065:0.000000:0.000000:0.000000
y:@0.536290:0.583703:0.542187:0.583703:0.542187:0.572307:0.536290:0.572307:0.000000
b:@0.517970:0.590452:0.525368:0.590452:0.525368:0.579056:0.517970:0.579056:0.000000
O:@0.503710:0.609563:0.512703:0.609563:0.512703:0.598167:0.503710:0.598167:0.000000
b+y:@0.550354:0.575418:0.571636:0.575418:0.571636:0.564021:0.550354:0.564021:0.000000:0.000000:0.000000
Para graficar :@0.229117:0.825602:0.314169:0.825602:0.314169:0.810703:0.229117:0.810703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectores de :@0.229117:0.843355:0.310048:0.843355:0.310048:0.828456:0.229117:0.828456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.310195:0.844390:0.323500:0.844390:0.323500:0.827641:0.310195:0.827641:0.000000
3:@0.324279:0.835857:0.329490:0.835857:0.329490:0.826359:0.324279:0.826359:0.000000
,  :@0.328934:0.843360:0.339187:0.843360:0.339187:0.828461:0.328934:0.828461:0.000000:0.000000:0.000000
apóyate:@0.229123:0.858447:0.285478:0.858447:0.285478:0.843335:0.229123:0.843335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en el :@0.285478:0.858447:0.325265:0.858447:0.325265:0.843548:0.285478:0.843548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
software libre :@0.229123:0.873535:0.323287:0.873535:0.323287:0.858636:0.229123:0.858636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
GeoGebra, :@0.229123:0.888623:0.303739:0.888623:0.303739:0.873724:0.229123:0.873724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiendo el manual en el link::@0.130586:0.903710:0.332415:0.903710:0.332415:0.888811:0.130586:0.888811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.168729:0.806169:0.188698:0.806169:0.188698:0.784443:0.168729:0.784443:0.000000:0.000000:0.000000
www.mayedu.ec/ctm12/p105:@0.142627:0.919612:0.341158:0.919612:0.341158:0.904486:0.142627:0.904486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.664449:0.719827:0.670990:0.719827:0.670990:0.708431:0.664449:0.708431:0.000000
4:@0.664449:0.744973:0.670990:0.744973:0.670990:0.733577:0.664449:0.733577:0.000000
u = (1, 2, 3):@0.742542:0.767605:0.800774:0.767605:0.800774:0.756209:0.742542:0.756209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.686482:0.714798:0.691883:0.714798:0.691883:0.703402:0.686482:0.703402:0.000000
y:@0.779800:0.804067:0.785697:0.804067:0.785697:0.792670:0.779800:0.792670:0.000000
v = (–1, 2, 3):@0.691669:0.876990:0.755542:0.876990:0.755542:0.865594:0.691669:0.865594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.664449:0.770119:0.670990:0.770119:0.670990:0.758723:0.664449:0.758723:0.000000
2:@0.664449:0.795266:0.670990:0.795266:0.670990:0.783869:0.664449:0.783869:0.000000
1:@0.664449:0.821669:0.670990:0.821669:0.670990:0.810273:0.664449:0.810273:0.000000
–1:@0.657749:0.870704:0.670990:0.870704:0.670990:0.859307:0.657749:0.859307:0.000000:0.000000
–2:@0.656073:0.898364:0.669314:0.898364:0.669314:0.886968:0.656073:0.886968:0.000000:0.000000
1:@0.701305:0.860645:0.707845:0.860645:0.707845:0.849249:0.701305:0.849249:0.000000
–1:@0.632620:0.851844:0.645861:0.851844:0.645861:0.840448:0.632620:0.840448:0.000000:0.000000
–1:@0.646022:0.851844:0.659263:0.851844:0.659263:0.840448:0.646022:0.840448:0.000000:0.000000
–2:@0.625919:0.860645:0.639160:0.860645:0.639160:0.849249:0.625919:0.849249:0.000000:0.000000
–3:@0.604141:0.868189:0.617382:0.868189:0.617382:0.856793:0.604141:0.856793:0.000000:0.000000
–4:@0.585713:0.876990:0.598954:0.876990:0.598954:0.865594:0.585713:0.865594:0.000000:0.000000
–5:@0.567286:0.883277:0.580527:0.883277:0.580527:0.871880:0.567286:0.871880:0.000000:0.000000
–2:@0.604141:0.846815:0.617382:0.846815:0.617382:0.835419:0.604141:0.835419:0.000000:0.000000
–3:@0.570636:0.841786:0.583877:0.841786:0.583877:0.830389:0.570636:0.830389:0.000000:0.000000
–4:@0.542157:0.838014:0.555398:0.838014:0.555398:0.826618:0.542157:0.826618:0.000000:0.000000
–5:@0.506977:0.832985:0.520218:0.832985:0.520218:0.821588:0.506977:0.821588:0.000000:0.000000
2:@0.734810:0.864417:0.741350:0.864417:0.741350:0.853021:0.734810:0.853021:0.000000
3:@0.764079:0.870704:0.770619:0.870704:0.770619:0.859307:0.764079:0.859307:0.000000
5:@0.826063:0.879505:0.832603:0.879505:0.832603:0.868108:0.826063:0.868108:0.000000
x:@0.851983:0.868189:0.857732:0.868189:0.857732:0.856793:0.851983:0.856793:0.000000
4:@0.798469:0.874475:0.805009:0.874475:0.805009:0.863079:0.798469:0.863079:0.000000
0:@0.662774:0.844300:0.669314:0.844300:0.669314:0.832904:0.662774:0.832904:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000