:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000 Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.:@0.096359:0.257596:0.110585:0.257596:0.110585:0.240695:0.096359:0.240695:0.000000:0.000000 Resolvamos la siguiente resta de vectores – por el método analítico y del po-:@0.110585:0.257596:0.712460:0.257591:0.712460:0.241202:0.110585:0.241207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u v:@0.432320:0.257494:0.466676:0.257494:0.466676:0.241133:0.432320:0.241133:0.000000:0.000000:0.000000 lígono. Sean los vectores: :@0.124861:0.276801:0.312748:0.276801:0.312748:0.260412:0.124861:0.260412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.317030:0.268542:0.324585:0.268542:0.324585:0.251793:0.317030:0.251793:0.000000 :@0.350900:0.265956:0.323959:0.265956:0.323959:0.249207:0.350900:0.249207:0.000000 :@0.385396:0.265956:0.358455:0.265956:0.358455:0.249207:0.385396:0.249207:0.000000 :@0.412264:0.268542:0.419819:0.268542:0.419819:0.251793:0.412264:0.251793:0.000000 :@0.445876:0.265956:0.478401:0.265956:0.478401:0.249207:0.445876:0.249207:0.000000:0.000000 u:@0.314936:0.276707:0.324260:0.276707:0.324260:0.260346:0.314936:0.260346:0.000000 i:@0.351054:0.276707:0.354850:0.276707:0.354850:0.260346:0.351054:0.260346:0.000000 j:@0.386969:0.276707:0.390600:0.276707:0.390600:0.260346:0.386969:0.260346:0.000000 v:@0.410483:0.276707:0.418223:0.276707:0.418223:0.260346:0.410483:0.260346:0.000000 i:@0.446023:0.276707:0.449819:0.276707:0.449819:0.260346:0.446023:0.260346:0.000000 j:@0.472412:0.276707:0.476042:0.276707:0.476042:0.260346:0.472412:0.260346:0.000000 =:@0.328651:0.276292:0.338768:0.276292:0.338768:0.259350:0.328651:0.259350:0.000000 +:@0.361894:0.276292:0.372011:0.276292:0.372011:0.259350:0.361894:0.259350:0.000000 =:@0.423878:0.276292:0.433995:0.276292:0.433995:0.259350:0.423878:0.259350:0.000000 +:@0.456864:0.276292:0.466981:0.276292:0.466981:0.259350:0.456864:0.259350:0.000000 2:@0.341686:0.276707:0.350679:0.276707:0.350679:0.260318:0.341686:0.260318:0.000000 4 y :@0.375188:0.276707:0.410476:0.276707:0.410476:0.260318:0.375188:0.260318:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.436920:0.276707:0.445913:0.276707:0.445913:0.260318:0.436920:0.260318:0.000000 Método del polígono:@0.096359:0.304091:0.264143:0.304091:0.264143:0.287190:0.096359:0.287190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Método analítico:@0.096359:0.503137:0.231266:0.503137:0.231266:0.486236:0.096359:0.486236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Método del paralelogramo:@0.096359:0.747269:0.309159:0.747269:0.309159:0.730369:0.096359:0.730369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3.:@0.096359:0.606408:0.110585:0.606408:0.110585:0.589507:0.096359:0.589507:0.000000:0.000000 Sumar los siguientes vectores empleando el método analítico y del paralelogra-:@0.110585:0.606408:0.712572:0.606408:0.712572:0.590019:0.110585:0.590019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mo. Sean los vectores :@0.124848:0.624387:0.287157:0.624387:0.287157:0.607998:0.124848:0.607998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.291452:0.616094:0.214517:0.616094:0.214517:0.599345:0.291452:0.599345:0.000000 :@0.375943:0.616094:0.299008:0.616094:0.299008:0.599345:0.375943:0.599345:0.000000 u:@0.289352:0.624254:0.298676:0.624254:0.298676:0.607892:0.289352:0.607892:0.000000 v:@0.374156:0.624254:0.381895:0.624254:0.381895:0.607892:0.374156:0.607892:0.000000 =:@0.303073:0.623844:0.313190:0.623844:0.313190:0.606902:0.303073:0.606902:0.000000 (:@0.316110:0.625594:0.322247:0.625594:0.322247:0.603942:0.316110:0.603942:0.000000 ):@0.349722:0.625594:0.355859:0.625594:0.355859:0.603942:0.349722:0.603942:0.000000 =:@0.387569:0.623844:0.397686:0.623844:0.397686:0.606902:0.387569:0.606902:0.000000 (:@0.400604:0.625594:0.406741:0.625594:0.406741:0.603942:0.400604:0.603942:0.000000 ):@0.432539:0.625594:0.438676:0.625594:0.438676:0.603942:0.432539:0.603942:0.000000 4, 1 y:@0.323753:0.624259:0.370184:0.624259:0.370184:0.607870:0.323753:0.607870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 3:@0.406530:0.624259:0.431951:0.624259:0.431951:0.607870:0.406530:0.607870:0.000000:0.000000:0.000000 ,:@0.412592:0.624259:0.415799:0.624259:0.415799:0.607870:0.412592:0.607870:0.000000 Método analítico:@0.096359:0.651672:0.231266:0.651672:0.231266:0.634771:0.096359:0.634771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 1.:@0.102121:0.142818:0.154372:0.142818:0.154372:0.127240:0.102121:0.127240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Escribimos los :@0.157756:0.142818:0.255523:0.142818:0.255523:0.127919:0.157756:0.127919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vectores anteriores y sumamos :@0.102121:0.157906:0.312262:0.157906:0.312262:0.143007:0.102121:0.143007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 componente con componente.:@0.102121:0.172993:0.312662:0.172993:0.312662:0.158094:0.102121:0.158094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.355503:0.139693:0.362303:0.139693:0.362303:0.124620:0.355503:0.124620:0.000000 :@0.351830:0.158364:0.358629:0.158364:0.358629:0.143291:0.351830:0.143291:0.000000 :@0.351448:0.177035:0.358248:0.177035:0.358248:0.161961:0.351448:0.161961:0.000000 :@0.350171:0.195743:0.356971:0.195743:0.356971:0.180670:0.350171:0.180670:0.000000 u:@0.353604:0.147050:0.361996:0.147050:0.361996:0.132325:0.353604:0.132325:0.000000 v:@0.350204:0.165721:0.357170:0.165721:0.357170:0.150995:0.350204:0.150995:0.000000 w:@0.347617:0.184391:0.359077:0.184391:0.359077:0.169666:0.347617:0.169666:0.000000 z:@0.349458:0.203100:0.355976:0.203100:0.355976:0.188375:0.349458:0.188375:0.000000 =:@0.365943:0.146676:0.375048:0.146676:0.375048:0.131428:0.365943:0.131428:0.000000 (:@0.377695:0.148243:0.383218:0.148243:0.383218:0.128756:0.377695:0.128756:0.000000 ):@0.410251:0.148243:0.415774:0.148243:0.415774:0.128756:0.410251:0.128756:0.000000 +:@0.336469:0.165339:0.345574:0.165339:0.345574:0.150091:0.336469:0.150091:0.000000 =:@0.362292:0.165339:0.371397:0.165339:0.371397:0.150091:0.362292:0.150091:0.000000 (:@0.374022:0.166914:0.379544:0.166914:0.379544:0.147427:0.374022:0.147427:0.000000 ):@0.402763:0.166914:0.408286:0.166914:0.408286:0.147427:0.402763:0.147427:0.000000 =−:@0.363278:0.184010:0.390992:0.184010:0.390992:0.168762:0.363278:0.168762:0.000000:0.000000 −:@0.411142:0.184010:0.420247:0.184010:0.420247:0.168762:0.411142:0.168762:0.000000 (:@0.375010:0.185585:0.380533:0.185585:0.380533:0.166098:0.375010:0.166098:0.000000 ):@0.430934:0.185585:0.436457:0.185585:0.436457:0.166098:0.430934:0.166098:0.000000 =:@0.360640:0.202717:0.369745:0.202717:0.369745:0.187469:0.360640:0.187469:0.000000 (:@0.372371:0.204291:0.377894:0.204291:0.377894:0.184804:0.372371:0.184804:0.000000 ):@0.401113:0.204291:0.406636:0.204291:0.406636:0.184804:0.401113:0.184804:0.000000 4, 2 :@0.384576:0.147041:0.424995:0.147040:0.424995:0.132290:0.384576:0.132291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 13:@0.379351:0.165712:0.402238:0.165712:0.402238:0.150962:0.379351:0.150962:0.000000:0.000000 4,:@0.390935:0.184383:0.402108:0.184382:0.402108:0.169632:0.390935:0.169633:0.000000:0.000000 2:@0.422313:0.184383:0.430407:0.184383:0.430407:0.169633:0.422313:0.169633:0.000000 13:@0.377695:0.203091:0.400582:0.203091:0.400582:0.188341:0.377695:0.188341:0.000000:0.000000 ,:@0.384810:0.165711:0.387696:0.165711:0.387696:0.150961:0.384810:0.150961:0.000000 ,:@0.383152:0.203091:0.386038:0.203091:0.386038:0.188341:0.383152:0.188341:0.000000 :@0.410235:0.165711:0.442924:0.165711:0.442924:0.150961:0.410235:0.150961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.412228:0.203091:0.430372:0.203091:0.430372:0.188341:0.412228:0.188341:0.000000:0.000000:0.000000:0.000000:0.000000 Al obtener la norma del vector se obtiene :@0.332370:0.228355:0.623557:0.228355:0.623557:0.213456:0.332370:0.213456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z:@0.539527:0.228355:0.546111:0.228355:0.546111:0.213481:0.539527:0.213481:0.000000 10 km:@0.631033:0.225790:0.671814:0.225790:0.671814:0.211040:0.631033:0.211040:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 1.:@0.102121:0.326993:0.154372:0.326993:0.154372:0.311415:0.102121:0.311415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Gracamos los vectores y , uno :@0.157756:0.326993:0.389419:0.326989:0.389419:0.312090:0.157756:0.312094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.184811:0.326993:0.188480:0.326993:0.188480:0.312094:0.184811:0.312094:0.000000 u v:@0.319352:0.326980:0.351206:0.327140:0.351206:0.312266:0.319352:0.312106:0.000000:0.000000:0.000000 a continuación de otro y trazamos el vector :@0.102115:0.342076:0.394625:0.342076:0.394625:0.327177:0.102115:0.327177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resultante.:@0.102115:0.357164:0.171401:0.357164:0.171401:0.342265:0.102115:0.342265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.566267:0.323521:0.571708:0.323521:0.571708:0.311622:0.566267:0.311622:0.000000 v:@0.544087:0.325080:0.549716:0.325080:0.549716:0.313181:0.544087:0.313181:0.000000 u:@0.614980:0.368856:0.622100:0.368856:0.622100:0.356362:0.614980:0.356362:0.000000 z:@0.536289:0.381793:0.541819:0.381793:0.541819:0.369299:0.536289:0.369299:0.000000 x:@0.668006:0.414325:0.673434:0.414325:0.673434:0.402426:0.668006:0.402426:0.000000 2:@0.567289:0.359769:0.573829:0.359769:0.573829:0.347850:0.567289:0.347850:0.000000 1:@0.567217:0.381153:0.573757:0.381153:0.573757:0.369234:0.567217:0.369234:0.000000 –1:@0.561682:0.423922:0.574923:0.423922:0.574923:0.412002:0.561682:0.412002:0.000000:0.000000 –2:@0.520711:0.413838:0.533952:0.413838:0.533952:0.401919:0.520711:0.401919:0.000000:0.000000 –1 0:@0.549203:0.413838:0.581046:0.412450:0.581046:0.400531:0.549203:0.401919:0.000000:0.000000:0.000000:0.000000 –3:@0.492218:0.413838:0.505459:0.413838:0.505459:0.401919:0.492218:0.401919:0.000000:0.000000 –4:@0.463726:0.413838:0.476967:0.413838:0.476967:0.401919:0.463726:0.401919:0.000000:0.000000 1:@0.609538:0.413838:0.616079:0.413838:0.616079:0.401919:0.609538:0.401919:0.000000 2:@0.638031:0.413838:0.644571:0.413838:0.644571:0.401919:0.638031:0.401919:0.000000 3:@0.567215:0.338380:0.573755:0.338380:0.573755:0.326461:0.567215:0.326461:0.000000 z:@0.479932:0.368470:0.485199:0.368470:0.485199:0.356571:0.479932:0.356571:0.000000 = – :@0.485199:0.368470:0.518409:0.368470:0.518409:0.356550:0.485199:0.356550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u v:@0.499056:0.368470:0.524038:0.368470:0.524038:0.356571:0.499056:0.356571:0.000000:0.000000:0.000000 Paso 2.:@0.102121:0.458973:0.154372:0.458973:0.154372:0.443395:0.102121:0.443395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Escribimos la respuesta obtenida :@0.157756:0.458973:0.380291:0.458973:0.380291:0.444074:0.157756:0.444074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 grá camente. :@0.102121:0.474060:0.197273:0.474060:0.197273:0.459161:0.102121:0.459161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.414681:0.456874:0.421481:0.456874:0.421481:0.441800:0.414681:0.441800:0.000000 :@0.454734:0.454546:0.431515:0.454546:0.431515:0.439473:0.454734:0.439473:0.000000 :@0.484752:0.454546:0.461534:0.454546:0.461534:0.439473:0.484752:0.439473:0.000000 z:@0.413974:0.464222:0.420492:0.464222:0.420492:0.449497:0.413974:0.449497:0.000000 i:@0.454873:0.464222:0.458289:0.464222:0.458289:0.449497:0.454873:0.449497:0.000000 j:@0.486152:0.464222:0.489419:0.464222:0.489419:0.449497:0.486152:0.449497:0.000000 =−:@0.425136:0.463849:0.446497:0.463849:0.446497:0.448601:0.425136:0.448601:0.000000:0.000000 +:@0.464625:0.463849:0.473730:0.463849:0.473730:0.448601:0.464625:0.448601:0.000000 3:@0.446437:0.464222:0.454531:0.464222:0.454531:0.449472:0.446437:0.449472:0.000000 3:@0.476074:0.464222:0.484168:0.464222:0.484168:0.449472:0.476074:0.449472:0.000000 Paso 1.:@0.102121:0.525058:0.154372:0.525058:0.154372:0.509480:0.102121:0.509480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Escribimos los vectores y restamos :@0.157756:0.525058:0.391047:0.525058:0.391047:0.510159:0.157756:0.510159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 componente con componente.:@0.102121:0.540145:0.312662:0.540145:0.312662:0.525246:0.102121:0.525246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.414681:0.521543:0.397682:0.521543:0.397682:0.506470:0.414681:0.506470:0.000000 :@0.438481:0.521543:0.421481:0.521543:0.421481:0.506470:0.438481:0.506470:0.000000 :@0.477107:0.521543:0.483907:0.521543:0.483907:0.506470:0.477107:0.506470:0.000000 :@0.414681:0.544457:0.421481:0.544457:0.421481:0.529384:0.414681:0.529384:0.000000 :@0.451483:0.542130:0.427236:0.542130:0.427236:0.527056:0.451483:0.527056:0.000000 :@0.482530:0.542130:0.458283:0.542130:0.458283:0.527056:0.482530:0.527056:0.000000 :@0.534121:0.542124:0.563111:0.542124:0.563111:0.527050:0.534121:0.527050:0.000000:0.000000 :@0.414681:0.568433:0.421481:0.568433:0.421481:0.553359:0.414681:0.553359:0.000000 :@0.454734:0.566105:0.431515:0.566105:0.431515:0.551032:0.454734:0.551032:0.000000 :@0.484752:0.566105:0.461534:0.566105:0.461534:0.551032:0.484752:0.551032:0.000000 zu:@0.413985:0.528900:0.444998:0.528900:0.444998:0.514175:0.413985:0.514175:0.000000:0.000000 v:@0.475515:0.528900:0.482480:0.528900:0.482480:0.514175:0.475515:0.514175:0.000000 z:@0.413985:0.551816:0.420503:0.551816:0.420503:0.537091:0.413985:0.537091:0.000000 i:@0.451632:0.551816:0.455049:0.551816:0.455049:0.537091:0.451632:0.537091:0.000000 j:@0.483942:0.551807:0.487210:0.551807:0.487210:0.537082:0.483942:0.537082:0.000000 i:@0.534261:0.551807:0.537677:0.551807:0.537677:0.537082:0.534261:0.537082:0.000000 j:@0.557727:0.551807:0.560994:0.551807:0.560994:0.537082:0.557727:0.537082:0.000000 z:@0.413969:0.575780:0.420487:0.575780:0.420487:0.561055:0.413969:0.561055:0.000000 i:@0.454867:0.575780:0.458284:0.575780:0.458284:0.561055:0.454867:0.561055:0.000000 j:@0.486146:0.575780:0.489414:0.575780:0.489414:0.561055:0.486146:0.561055:0.000000 =+ −:@0.425131:0.528518:0.475797:0.528518:0.475797:0.513270:0.425131:0.513270:0.000000:0.000000:0.000000:0.000000 ( ):@0.459819:0.530094:0.491015:0.530094:0.491015:0.510607:0.459819:0.510607:0.000000:0.000000:0.000000 =:@0.425141:0.551433:0.434247:0.551433:0.434247:0.536185:0.425141:0.536185:0.000000 +:@0.461379:0.551433:0.470485:0.551433:0.470485:0.536185:0.461379:0.536185:0.000000 (:@0.436873:0.555079:0.442396:0.555079:0.442396:0.529965:0.436873:0.529965:0.000000 ) (:@0.490923:0.555079:0.515709:0.555079:0.515709:0.529965:0.490923:0.529965:0.000000:0.000000:0.000000 +−:@0.498736:0.551433:0.526118:0.551433:0.526118:0.536185:0.498736:0.536185:0.000000:0.000000 −:@0.544013:0.551433:0.553118:0.551433:0.553118:0.536185:0.544013:0.536185:0.000000 ):@0.564701:0.555079:0.570224:0.555079:0.570224:0.529965:0.564701:0.529965:0.000000 =−:@0.425141:0.575409:0.446503:0.575409:0.446503:0.560161:0.425141:0.560161:0.000000:0.000000 +:@0.464630:0.575409:0.473735:0.575409:0.473735:0.560161:0.464630:0.560161:0.000000 2:@0.443186:0.551809:0.451279:0.551809:0.451279:0.537059:0.443186:0.537059:0.000000 4:@0.473337:0.551809:0.481431:0.551809:0.481431:0.537059:0.473337:0.537059:0.000000 5:@0.526060:0.551809:0.534154:0.551809:0.534154:0.537059:0.526060:0.537059:0.000000 3:@0.446436:0.575782:0.454530:0.575782:0.454530:0.561032:0.446436:0.561032:0.000000 3:@0.476074:0.575782:0.484167:0.575782:0.484167:0.561032:0.476074:0.561032:0.000000 Paso 1.:@0.102309:0.769192:0.154560:0.769192:0.154560:0.753614:0.102309:0.753614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Representamos cada vector desde :@0.157944:0.769192:0.391117:0.769192:0.391117:0.754293:0.157944:0.754293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el origen del plano.:@0.102309:0.784279:0.230379:0.784279:0.230379:0.769380:0.102309:0.769380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 2.:@0.102309:0.806496:0.154560:0.806496:0.154560:0.790918:0.102309:0.790918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trazamos rectas paralelas a cada :@0.157944:0.806496:0.376644:0.806496:0.376644:0.791597:0.157944:0.791597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 uno de los vectores, así se forma un :@0.102309:0.821583:0.342518:0.821583:0.342518:0.806684:0.102309:0.806684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 paralelogramo.:@0.102309:0.836671:0.202621:0.836671:0.202621:0.821772:0.102309:0.821772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 3.:@0.102309:0.858887:0.154560:0.858887:0.154560:0.843309:0.102309:0.843309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trazamos la diagonal que va desde :@0.157944:0.858887:0.394404:0.858887:0.394404:0.843988:0.157944:0.843988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el origen hasta el vértice opuesto, este es el :@0.102309:0.873975:0.394868:0.873975:0.394868:0.859076:0.102309:0.859076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vector suma + .:@0.102309:0.889063:0.227294:0.889058:0.227294:0.874159:0.102309:0.874164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.188738:0.889049:0.197215:0.889049:0.197215:0.874175:0.188738:0.874175:0.000000 v:@0.216170:0.889209:0.223206:0.889209:0.223206:0.874335:0.216170:0.874335:0.000000 u:@0.208751:0.911264:0.217227:0.911264:0.217227:0.896390:0.208751:0.896390:0.000000 + = (5, 4):@0.217680:0.911277:0.293526:0.911273:0.293526:0.896374:0.217680:0.896378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.236183:0.911424:0.243219:0.911424:0.243219:0.896550:0.236183:0.896550:0.000000 y:@0.487092:0.766677:0.492989:0.766677:0.492989:0.754758:0.487092:0.754758:0.000000 x:@0.683899:0.868116:0.689648:0.868116:0.689648:0.856197:0.683899:0.856197:0.000000 4:@0.488174:0.781327:0.494714:0.781327:0.494714:0.769408:0.488174:0.769408:0.000000 2:@0.488174:0.824095:0.494714:0.824095:0.494714:0.812176:0.488174:0.812176:0.000000 1:@0.488378:0.845480:0.494919:0.845480:0.494919:0.833560:0.488378:0.833560:0.000000 –1:@0.484934:0.890702:0.498175:0.890702:0.498175:0.878783:0.484934:0.878783:0.000000:0.000000 –1 0:@0.472462:0.878164:0.501142:0.876002:0.501142:0.864083:0.472462:0.866245:0.000000:0.000000:0.000000:0.000000 –2:@0.443970:0.878164:0.457211:0.878164:0.457211:0.866245:0.443970:0.866245:0.000000:0.000000 2:@0.561290:0.878164:0.567830:0.878164:0.567830:0.866245:0.561290:0.866245:0.000000 1:@0.532797:0.878164:0.539338:0.878164:0.539338:0.866245:0.532797:0.866245:0.000000 4:@0.618273:0.878164:0.624813:0.878164:0.624813:0.866245:0.618273:0.866245:0.000000 3:@0.589781:0.878164:0.596321:0.878164:0.596321:0.866245:0.589781:0.866245:0.000000 5:@0.646766:0.878164:0.653306:0.878164:0.653306:0.866245:0.646766:0.866245:0.000000 3:@0.488382:0.802706:0.494922:0.802706:0.494922:0.790787:0.488382:0.790787:0.000000 u:@0.584025:0.787063:0.590806:0.787063:0.590806:0.775164:0.584025:0.775164:0.000000 v:@0.642256:0.824872:0.647885:0.824872:0.647885:0.812973:0.642256:0.812973:0.000000 v:@0.530564:0.836953:0.536193:0.836953:0.536193:0.825053:0.530564:0.825053:0.000000 u:@0.574616:0.849244:0.581398:0.849244:0.581398:0.837345:0.574616:0.837345:0.000000 w:@0.564222:0.827718:0.571469:0.823391:0.561599:0.814079:0.554352:0.818406:0.000000 = :@0.571469:0.823391:0.582314:0.816917:0.572428:0.807589:0.561583:0.814063:0.000000:0.000000:0.000000 u:@0.582314:0.816917:0.587621:0.813749:0.577752:0.804436:0.572445:0.807605:0.000000 + :@0.587621:0.813749:0.598467:0.807274:0.588580:0.797946:0.577735:0.804421:0.000000:0.000000:0.000000 v:@0.598467:0.807274:0.602872:0.804644:0.593002:0.795332:0.588597:0.797962:0.000000 u:@0.587549:0.773728:0.596026:0.773728:0.596026:0.758854:0.587549:0.758854:0.000000 + = (5, 4):@0.596478:0.773741:0.672325:0.773737:0.672325:0.758838:0.596478:0.758841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.614981:0.773888:0.622017:0.773888:0.622017:0.759014:0.614981:0.759014:0.000000 Paso 1.:@0.102121:0.672073:0.154372:0.672073:0.154372:0.656495:0.102121:0.656495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Escribimos los vectores y sumamos :@0.157756:0.672073:0.395605:0.672073:0.395605:0.657174:0.157756:0.657174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 componente con componente.:@0.102121:0.687160:0.312662:0.687160:0.312662:0.672261:0.102121:0.672261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.415058:0.675730:0.429587:0.675730:0.429587:0.660980:0.415058:0.660980:0.000000:0.000000:0.000000:0.000000 ,:@0.473951:0.675730:0.471712:0.675730:0.471712:0.660980:0.473951:0.660980:0.000000:0.000000:0.000000 13:@0.467118:0.694401:0.479408:0.694401:0.479408:0.679651:0.467118:0.679651:0.000000:0.000000:0.000000:0.000000 :@0.415904:0.713109:0.423168:0.713109:0.423168:0.698359:0.415904:0.698359:0.000000:0.000000 :@0.431455:0.668384:0.438255:0.668384:0.438255:0.653310:0.431455:0.653310:0.000000 :@0.429005:0.687053:0.435804:0.687053:0.435804:0.671979:0.429005:0.671979:0.000000 :@0.427495:0.705761:0.434295:0.705761:0.434295:0.690688:0.427495:0.690688:0.000000 u:@0.429568:0.675738:0.437960:0.675738:0.437960:0.661013:0.429568:0.661013:0.000000 v:@0.427396:0.694409:0.434362:0.694409:0.434362:0.679684:0.427396:0.679684:0.000000 z:@0.426782:0.713118:0.433300:0.713118:0.433300:0.698392:0.426782:0.698392:0.000000 =:@0.441908:0.675365:0.451013:0.675365:0.451013:0.660117:0.441908:0.660117:0.000000 (:@0.453647:0.676931:0.459170:0.676931:0.459170:0.657445:0.453647:0.657445:0.000000 ):@0.483434:0.676931:0.488957:0.676931:0.488957:0.657445:0.483434:0.657445:0.000000 +=:@0.418310:0.694028:0.448577:0.694028:0.448577:0.678780:0.418310:0.678780:0.000000:0.000000 (:@0.451196:0.695602:0.456719:0.695602:0.456719:0.676115:0.451196:0.676115:0.000000 ):@0.479938:0.695602:0.485461:0.695602:0.485461:0.676115:0.479938:0.676115:0.000000 =:@0.437957:0.712734:0.447062:0.712734:0.447062:0.697486:0.437957:0.697486:0.000000 (:@0.449689:0.714309:0.455212:0.714309:0.455212:0.694822:0.449689:0.694822:0.000000 ):@0.482577:0.714309:0.488099:0.714309:0.488099:0.694822:0.482577:0.694822:0.000000 41:@0.460526:0.675730:0.485204:0.675730:0.485204:0.660980:0.460526:0.660980:0.000000:0.000000 54:@0.456056:0.713109:0.481530:0.713109:0.481530:0.698359:0.456056:0.698359:0.000000:0.000000 ,:@0.461993:0.694401:0.464879:0.694401:0.464879:0.679651:0.461993:0.679651:0.000000 ,:@0.463602:0.713109:0.466488:0.713109:0.466488:0.698359:0.463602:0.698359:0.000000 Método analítico:@0.096359:0.118227:0.231266:0.118227:0.231266:0.101326:0.096359:0.101326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000 Los vectores base son los :@0.754293:0.152609:0.925452:0.152609:0.925452:0.137710:0.754293:0.137710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vectores más simples y :@0.754293:0.167696:0.910911:0.167696:0.910911:0.152797:0.754293:0.152797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fundamentales que se :@0.754293:0.182784:0.906287:0.182784:0.906287:0.167885:0.754293:0.167885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 utilizan para construir :@0.754293:0.197872:0.901730:0.197872:0.901730:0.182972:0.754293:0.182972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cualquier otro vector en :@0.754293:0.212959:0.918062:0.212959:0.918062:0.198060:0.754293:0.198060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un espacio. Actúan como :@0.754293:0.228047:0.927527:0.228047:0.927527:0.213148:0.754293:0.213148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un ‘sistema de referencia’ :@0.754293:0.243134:0.921781:0.243134:0.921781:0.228235:0.754293:0.228235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para describir la dirección :@0.754293:0.258222:0.928566:0.258222:0.928566:0.243323:0.754293:0.243323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y magnitud de otros :@0.754293:0.273310:0.893554:0.273310:0.893554:0.258411:0.754293:0.258411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vectores.:@0.754293:0.288397:0.813378:0.288397:0.813378:0.273498:0.754293:0.273498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En el plano cartesiano, :@0.754293:0.307043:0.907240:0.307043:0.907240:0.292144:0.754293:0.292144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los vectores base son::@0.754293:0.322131:0.898648:0.322131:0.898648:0.307232:0.754293:0.307232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.757263:0.340775:0.760714:0.340775:0.760714:0.325901:0.757263:0.325901:0.000000 =(1, 0) :@0.767348:0.340788:0.812814:0.340788:0.812814:0.325889:0.767348:0.325889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y j:@0.812814:0.340788:0.829633:0.340775:0.829633:0.325901:0.812814:0.325914:0.000000:0.000000:0.000000 =(0, 1) :@0.836351:0.340788:0.881817:0.340788:0.881817:0.325889:0.836351:0.325889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.757263:0.359427:0.760714:0.359427:0.760714:0.344553:0.757263:0.344553:0.000000 es el vector unitario que :@0.767348:0.359440:0.931638:0.359440:0.931638:0.344541:0.767348:0.344541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 apunta hacia la derecha :@0.754281:0.374527:0.916962:0.374527:0.916962:0.359628:0.754281:0.359628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (eje ) es el vector :@0.754281:0.389615:0.889344:0.389615:0.889344:0.374716:0.754281:0.374716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x j:@0.782157:0.389615:0.803406:0.389602:0.803406:0.374729:0.782157:0.374741:0.000000:0.000000:0.000000 unitario que apunta hacia :@0.754304:0.404703:0.929382:0.404703:0.929382:0.389804:0.754304:0.389804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 arriba (eje ).:@0.754304:0.419790:0.838081:0.419790:0.838081:0.404891:0.754304:0.404891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.823926:0.419790:0.830727:0.419790:0.830727:0.404916:0.823926:0.404916:0.000000 Cualquier vector = ( , ) :@0.754304:0.438436:0.930514:0.438438:0.930514:0.423539:0.754304:0.423537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.869000:0.438589:0.876036:0.438589:0.876036:0.423715:0.869000:0.423715:0.000000 a b:@0.898970:0.438438:0.922406:0.438438:0.922406:0.423565:0.898970:0.423565:0.000000:0.000000:0.000000 puede escribirse como :@0.754296:0.453526:0.910293:0.453526:0.910293:0.438627:0.754296:0.438627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una combinación lineal :@0.754296:0.468614:0.914399:0.468614:0.914399:0.453715:0.754296:0.453715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de y :@0.754296:0.483701:0.799295:0.483705:0.799295:0.468806:0.754296:0.468802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.778170:0.483692:0.781621:0.483692:0.781621:0.468819:0.778170:0.468819:0.000000 j:@0.802343:0.483692:0.805644:0.483692:0.805644:0.468819:0.802343:0.468819:0.000000 v:@0.755470:0.502503:0.762506:0.502503:0.762506:0.487629:0.755470:0.487629:0.000000 = :@0.763679:0.502352:0.781001:0.502352:0.781001:0.487453:0.763679:0.487453:0.000000:0.000000:0.000000 a i:@0.781001:0.502352:0.798867:0.502343:0.798867:0.487469:0.781001:0.487478:0.000000:0.000000:0.000000:0.000000 + b :@0.805501:0.502356:0.832071:0.502356:0.832071:0.487457:0.805501:0.487457:0.000000:0.000000:0.000000:0.000000 j:@0.835120:0.502343:0.838420:0.502343:0.838420:0.487469:0.835120:0.487469:0.000000 Por ejemplo::@0.754289:0.539660:0.837967:0.539660:0.837967:0.524761:0.754289:0.524761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si tenemos el vector :@0.754289:0.558306:0.893265:0.558306:0.893265:0.543407:0.754289:0.543407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.755470:0.573546:0.762506:0.573546:0.762506:0.558672:0.755470:0.558672:0.000000 =(3 ,2), podemos :@0.763679:0.573395:0.883676:0.573395:0.883676:0.558496:0.763679:0.558496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escribirlo como::@0.754281:0.588482:0.860573:0.588482:0.860573:0.573583:0.754281:0.573583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.755470:0.607285:0.762506:0.607285:0.762506:0.592411:0.755470:0.592411:0.000000 =3 + 2:@0.763679:0.607134:0.824063:0.607138:0.824063:0.592239:0.763679:0.592235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.792150:0.607126:0.795601:0.607126:0.795601:0.592252:0.792150:0.592252:0.000000 j:@0.827112:0.607126:0.830412:0.607126:0.830412:0.592252:0.827112:0.592252:0.000000 Matemática:@0.775158:0.120167:0.882699:0.120167:0.882699:0.103266:0.775158:0.103266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000