﻿88:@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
Actividad resuelta:@0.115209:0.622515:0.272331:0.622515:0.272331:0.604078:0.115209:0.604078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115209:0.651932:0.133931:0.651932:0.133931:0.635031:0.115209:0.635031:0.000000:0.000000:0.000000
Si: :@0.148452:0.651932:0.168096:0.651932:0.168096:0.635543:0.148452:0.635543:0.000000:0.000000:0.000000:0.000000
4, 3:@0.204687:0.651932:0.230743:0.651932:0.230743:0.636262:0.204687:0.636262:0.000000:0.000000:0.000000:0.000000
.:@0.218710:0.651932:0.221916:0.651932:0.221916:0.636262:0.218710:0.636262:0.000000
...:@0.237304:0.651932:0.246591:0.651932:0.246591:0.636262:0.237304:0.636262:0.000000:0.000000:0.000000
5 2:@0.281493:0.643412:0.311991:0.643412:0.311991:0.627743:0.281493:0.627743:0.000000:0.000000:0.000000
3 3:@0.281493:0.662858:0.312193:0.662858:0.312193:0.647188:0.281493:0.647188:0.000000:0.000000:0.000000
,:@0.292844:0.651932:0.296051:0.651932:0.296051:0.636262:0.292844:0.636262:0.000000
.:@0.296972:0.651932:0.300179:0.651932:0.300179:0.636262:0.296972:0.636262:0.000000
.....:@0.321205:0.651932:0.336573:0.651932:0.336573:0.636262:0.321205:0.636262:0.000000:0.000000:0.000000:0.000000:0.000000
–3, –1 .:@0.375032:0.651932:0.430130:0.651932:0.430130:0.636262:0.375032:0.636262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.397126:0.651932:0.400333:0.651932:0.400333:0.636262:0.397126:0.636262:0.000000
(:@0.197515:0.655064:0.170666:0.655064:0.170666:0.635130:0.197515:0.635130:0.000000
):@0.230500:0.655064:0.203651:0.655064:0.203651:0.635130:0.230500:0.635130:0.000000
(:@0.368229:0.655064:0.341380:0.655064:0.341380:0.635130:0.368229:0.635130:0.000000
):@0.420108:0.655064:0.393259:0.655064:0.393259:0.635130:0.420108:0.635130:0.000000
=:@0.184845:0.652610:0.119630:0.652610:0.119630:0.637037:0.184845:0.637037:0.000000
=:@0.260177:0.652610:0.194962:0.652610:0.194962:0.637037:0.260177:0.637037:0.000000
⎛:@0.272432:0.642984:0.279508:0.642984:0.279508:0.627411:0.272432:0.627411:0.000000
⎝:@0.272432:0.663134:0.279508:0.663134:0.279508:0.647562:0.272432:0.647562:0.000000
⎜:@0.272432:0.653868:0.279508:0.653868:0.279508:0.638295:0.272432:0.638295:0.000000
⎞:@0.314004:0.642984:0.321081:0.642984:0.321081:0.627411:0.314004:0.627411:0.000000
⎠:@0.314004:0.663134:0.321081:0.663134:0.321081:0.647562:0.314004:0.647562:0.000000
⎟:@0.314004:0.653868:0.321081:0.653868:0.321081:0.638295:0.314004:0.638295:0.000000
=:@0.355577:0.652610:0.365694:0.652610:0.365694:0.637037:0.355577:0.637037:0.000000
U:@0.170306:0.651932:0.181362:0.651932:0.181362:0.636539:0.170306:0.636539:0.000000
V:@0.246006:0.651932:0.255128:0.651932:0.255128:0.636539:0.246006:0.636539:0.000000
W:@0.335998:0.651932:0.350869:0.651932:0.350869:0.636539:0.335998:0.636539:0.000000
 :@0.431144:0.651932:0.435180:0.651932:0.435180:0.635543:0.431144:0.635543:0.000000
Calculemos:@0.435180:0.651932:0.523743:0.651932:0.523743:0.635308:0.435180:0.635308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   + 3  – :@0.523743:0.651932:0.593289:0.651932:0.593289:0.635543:0.523743:0.635543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.527778:0.651932:0.538835:0.651932:0.538835:0.635571:0.527778:0.635571:0.000000
V W:@0.566882:0.651932:0.608160:0.651932:0.608160:0.635571:0.566882:0.635571:0.000000:0.000000:0.000000
        Calculamos:@0.115202:0.680727:0.234667:0.680727:0.234667:0.664103:0.115202:0.664103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por separado y luego :@0.234667:0.680727:0.398802:0.680727:0.398802:0.664338:0.234667:0.664338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
juntamos:@0.398802:0.680727:0.471351:0.680727:0.471351:0.664103:0.398802:0.664103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las soluciones.:@0.471351:0.680727:0.579503:0.680727:0.579503:0.664338:0.471351:0.664338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115202:0.778438:0.119238:0.778438:0.119238:0.762049:0.115202:0.762049:0.000000
3–:@0.597569:0.705514:0.628398:0.705514:0.628398:0.689125:0.597569:0.689125:0.000000:0.000000
93, 51:@0.668810:0.705514:0.737969:0.705514:0.737969:0.689125:0.668810:0.689125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.704762:0.705514:0.707969:0.705514:0.707969:0.689125:0.704762:0.689125:0.000000
3–:@0.597569:0.728538:0.628398:0.728538:0.628398:0.712149:0.597569:0.712149:0.000000:0.000000
12, 6:@0.667668:0.728538:0.701777:0.728538:0.701777:0.712149:0.667668:0.712149:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.689744:0.728538:0.692950:0.728538:0.692950:0.712149:0.689744:0.712149:0.000000
(:@0.662381:0.708646:0.668517:0.708646:0.668517:0.688713:0.662381:0.688713:0.000000
):@0.735409:0.708646:0.741546:0.708646:0.741546:0.688713:0.735409:0.688713:0.000000
(:@0.662381:0.731678:0.668517:0.731678:0.668517:0.711744:0.662381:0.711744:0.000000
):@0.702332:0.731678:0.708468:0.731678:0.708468:0.711744:0.702332:0.711744:0.000000
+:@0.585423:0.706192:0.595540:0.706192:0.595540:0.690619:0.585423:0.690619:0.000000
=:@0.649717:0.706192:0.659834:0.706192:0.659834:0.690619:0.649717:0.690619:0.000000
+:@0.679761:0.706192:0.689878:0.706192:0.689878:0.690619:0.679761:0.690619:0.000000
+:@0.717980:0.706192:0.728097:0.706192:0.728097:0.690619:0.717980:0.690619:0.000000
+:@0.585423:0.729216:0.595540:0.729216:0.595540:0.713643:0.585423:0.713643:0.000000
=:@0.649717:0.729216:0.659834:0.729216:0.659834:0.713643:0.649717:0.713643:0.000000
U:@0.571805:0.705511:0.582862:0.705511:0.582862:0.689149:0.571805:0.689149:0.000000
V W:@0.605159:0.705511:0.645000:0.705511:0.645000:0.689149:0.605159:0.689149:0.000000:0.000000:0.000000
U:@0.571805:0.728538:0.582862:0.728538:0.582862:0.712177:0.571805:0.712177:0.000000
V W:@0.605159:0.728538:0.645000:0.728538:0.645000:0.712177:0.605159:0.712177:0.000000:0.000000:0.000000
3:@0.178136:0.714077:0.187128:0.714077:0.187128:0.698407:0.178136:0.698407:0.000000
3:@0.212577:0.714077:0.221570:0.714077:0.221570:0.698407:0.212577:0.698407:0.000000
5 2:@0.230747:0.705557:0.261244:0.705557:0.261244:0.689887:0.230747:0.689887:0.000000:0.000000:0.000000
3 3:@0.230747:0.725002:0.261447:0.725002:0.261447:0.709333:0.230747:0.709333:0.000000:0.000000:0.000000
,:@0.242098:0.714077:0.245305:0.714077:0.245305:0.698407:0.242098:0.698407:0.000000
.:@0.246226:0.714077:0.249432:0.714077:0.249432:0.698407:0.246226:0.698407:0.000000
3:@0.292295:0.714077:0.301288:0.714077:0.301288:0.698407:0.292295:0.698407:0.000000
5:@0.310299:0.705557:0.319291:0.705557:0.319291:0.689887:0.310299:0.689887:0.000000
3:@0.310299:0.725002:0.319291:0.725002:0.319291:0.709333:0.310299:0.709333:0.000000
, 3:@0.321650:0.714077:0.337811:0.714077:0.337811:0.698407:0.321650:0.698407:0.000000:0.000000:0.000000
.:@0.325778:0.714077:0.328984:0.714077:0.328984:0.698407:0.325778:0.698407:0.000000
2:@0.346822:0.705557:0.355815:0.705557:0.355815:0.689887:0.346822:0.689887:0.000000
3:@0.347025:0.725002:0.356018:0.725002:0.356018:0.709333:0.347025:0.709333:0.000000
5, 2:@0.386129:0.714077:0.411043:0.714077:0.411043:0.698407:0.386129:0.698407:0.000000:0.000000:0.000000:0.000000
.:@0.399009:0.714077:0.402216:0.714077:0.402216:0.698407:0.399009:0.698407:0.000000
3 –:@0.203437:0.745748:0.234272:0.745748:0.234272:0.730078:0.203437:0.730078:0.000000:0.000000:0.000000
4, 3:@0.275421:0.745748:0.301490:0.745748:0.301490:0.730078:0.275421:0.730078:0.000000:0.000000:0.000000:0.000000
.:@0.289457:0.745748:0.292664:0.745748:0.292664:0.730078:0.289457:0.730078:0.000000
5, 2 – –3, –1:@0.327678:0.745748:0.427572:0.745748:0.427572:0.730078:0.327678:0.730078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.340557:0.745748:0.343763:0.745748:0.343763:0.730078:0.340557:0.730078:0.000000
.:@0.402032:0.745748:0.405238:0.745748:0.405238:0.730078:0.402032:0.730078:0.000000
3 –:@0.203474:0.769633:0.234309:0.769633:0.234309:0.753963:0.203474:0.753963:0.000000:0.000000:0.000000
4 5– –3 , 3 2– –1:@0.275458:0.769633:0.431505:0.769633:0.431505:0.753963:0.275458:0.753963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.358063:0.769633:0.361270:0.769633:0.361270:0.753963:0.358063:0.753963:0.000000
(:@0.268284:0.774016:0.107318:0.774016:0.107318:0.751591:0.268284:0.751591:0.000000
):@0.435386:0.774016:0.274420:0.774016:0.274420:0.751591:0.435386:0.751591:0.000000
(:@0.379739:0.717208:0.354364:0.717208:0.354364:0.697275:0.379739:0.697275:0.000000
):@0.411250:0.717208:0.385876:0.717208:0.385876:0.697275:0.411250:0.697275:0.000000
(:@0.268289:0.748879:0.274425:0.748879:0.274425:0.728945:0.268289:0.728945:0.000000
)(:@0.301271:0.748879:0.327401:0.748879:0.327401:0.728945:0.301271:0.728945:0.000000:0.000000
) (:@0.352780:0.748879:0.379280:0.748879:0.379280:0.728945:0.352780:0.728945:0.000000:0.000000:0.000000
):@0.425023:0.748879:0.431160:0.748879:0.431160:0.728945:0.425023:0.728945:0.000000
( ):@0.321582:0.772760:0.352479:0.772760:0.352479:0.752826:0.321582:0.752826:0.000000:0.000000:0.000000
():@0.406494:0.772760:0.435094:0.772760:0.435094:0.752826:0.406494:0.752826:0.000000:0.000000
= ⎜:@0.199914:0.714754:0.228772:0.716013:0.228772:0.700440:0.199914:0.699181:0.000000:0.000000:0.000000
⎛:@0.221695:0.705128:0.228772:0.705128:0.228772:0.689555:0.221695:0.689555:0.000000
⎝:@0.221695:0.725279:0.228772:0.725279:0.228772:0.709706:0.221695:0.709706:0.000000
⎞ ⎛:@0.263268:0.705128:0.291813:0.705128:0.291813:0.689555:0.263268:0.689555:0.000000:0.000000:0.000000
⎠ ⎝:@0.263268:0.725279:0.291813:0.725279:0.291813:0.709706:0.263268:0.709706:0.000000:0.000000:0.000000
⎟=⎜:@0.263268:0.716013:0.291813:0.716013:0.291813:0.700440:0.263268:0.700440:0.000000:0.000000:0.000000
⋅:@0.302482:0.714754:0.270547:0.714754:0.270547:0.699181:0.302482:0.699181:0.000000
⋅:@0.339024:0.714754:0.307089:0.714754:0.307089:0.699181:0.339024:0.699181:0.000000
⎞:@0.357876:0.705128:0.364952:0.705128:0.364952:0.689555:0.357876:0.689555:0.000000
⎠:@0.357876:0.725279:0.364952:0.725279:0.364952:0.709706:0.357876:0.709706:0.000000
⎟=:@0.357876:0.716013:0.377206:0.714754:0.377206:0.699181:0.357876:0.700440:0.000000:0.000000
+:@0.191345:0.746426:0.147948:0.746426:0.147948:0.730853:0.191345:0.730853:0.000000
=:@0.255635:0.746426:0.212238:0.746426:0.212238:0.730853:0.255635:0.730853:0.000000
+:@0.309149:0.746426:0.265752:0.746426:0.265752:0.730853:0.309149:0.730853:0.000000
+:@0.191345:0.770311:0.170301:0.770311:0.170301:0.754738:0.191345:0.754738:0.000000
=:@0.255635:0.770311:0.234591:0.770311:0.234591:0.754738:0.255635:0.754738:0.000000
+:@0.286787:0.770311:0.265743:0.770311:0.265743:0.754738:0.286787:0.754738:0.000000
+:@0.371285:0.770311:0.350241:0.770311:0.350241:0.754738:0.371285:0.754738:0.000000
V:@0.185743:0.714077:0.194865:0.714077:0.194865:0.698683:0.185743:0.698683:0.000000
U:@0.177727:0.745748:0.188784:0.745748:0.188784:0.730355:0.177727:0.730355:0.000000
VW:@0.211076:0.745748:0.250916:0.745748:0.250916:0.730355:0.211076:0.730355:0.000000:0.000000
U:@0.177727:0.769633:0.188784:0.769633:0.188784:0.754240:0.177727:0.754240:0.000000
VW:@0.211076:0.769633:0.250916:0.769633:0.250916:0.754240:0.211076:0.754240:0.000000:0.000000
b) :@0.115209:0.802158:0.135240:0.802158:0.135240:0.785257:0.115209:0.785257:0.000000:0.000000:0.000000
Sean los vectores   = (1,   + 2);   = (  –1, 1) y   = (1, –1); sabiendo que  +  – 2C = 2  + 3 . :@0.148452:0.802158:0.883954:0.802158:0.883954:0.785769:0.148452:0.785769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.286807:0.802158:0.296703:0.802158:0.296703:0.785797:0.286807:0.785797:0.000000
a:@0.344725:0.802158:0.353994:0.802158:0.353994:0.785797:0.344725:0.785797:0.000000
B:@0.402016:0.802158:0.410862:0.802158:0.410862:0.785797:0.402016:0.785797:0.000000
b:@0.440033:0.802158:0.449302:0.802158:0.449302:0.785797:0.440033:0.785797:0.000000
C:@0.519308:0.802158:0.529222:0.802158:0.529222:0.785797:0.519308:0.785797:0.000000
A :@0.720114:0.802158:0.733327:0.802158:0.733327:0.785797:0.720114:0.785797:0.000000:0.000000
B :@0.753045:0.802158:0.765207:0.802158:0.765207:0.785797:0.753045:0.785797:0.000000:0.000000
i:@0.836006:0.802158:0.839802:0.802158:0.839802:0.785797:0.836006:0.785797:0.000000
j:@0.873082:0.802158:0.876712:0.802158:0.876712:0.785797:0.873082:0.785797:0.000000
 :@0.879900:0.802158:0.883936:0.802158:0.883936:0.785769:0.879900:0.785769:0.000000
Determinemos:@0.148452:0.818754:0.263275:0.818754:0.263275:0.802130:0.148452:0.802130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   y  .:@0.263275:0.818754:0.305235:0.818754:0.305235:0.802365:0.263275:0.802365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.267310:0.818754:0.302028:0.818754:0.302028:0.802393:0.267310:0.802393:0.000000:0.000000:0.000000
4:@0.054033:0.122645:0.076478:0.122645:0.076478:0.065614:0.054033:0.065614:0.000000
M.5.2.5. Realizar las operaciones de adición entre elementos de :@0.125388:0.070361:0.419515:0.070361:0.419515:0.059932:0.125388:0.059932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.419479:0.070808:0.428084:0.070808:0.428084:0.060090:0.419479:0.060090:0.000000
2:@0.428586:0.065348:0.431956:0.065348:0.431956:0.059270:0.428586:0.059270:0.000000
 y de producto por un número escalar de manera geométrica y analítica aplicando propiedades :@0.432204:0.070361:0.877724:0.070361:0.877724:0.059932:0.432204:0.059932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los números reales. :@0.125388:0.080922:0.231371:0.080922:0.231371:0.070493:0.125388:0.070493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto:@0.115891:0.142255:0.277317:0.142255:0.277317:0.101518:0.115891:0.101518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.278824:0.144556:0.289831:0.144556:0.289831:0.099859:0.278824:0.099859:0.000000
:@0.293585:0.146462:0.332290:0.146462:0.332290:0.097739:0.293585:0.097739:0.000000
2:@0.333402:0.126722:0.342544:0.126722:0.342544:0.102972:0.333402:0.102972:0.000000
. Operaciones:@0.343423:0.142255:0.536511:0.142255:0.536511:0.101518:0.343423:0.101518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición en :@0.260479:0.171407:0.348987:0.171407:0.348987:0.154506:0.260479:0.154506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.351969:0.172278:0.365273:0.172278:0.365273:0.155529:0.351969:0.155529:0.000000
2:@0.366156:0.165359:0.371915:0.165359:0.371915:0.155506:0.366156:0.155506:0.000000
Resta en :@0.650461:0.170306:0.721702:0.170306:0.721702:0.153406:0.650461:0.153406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.724684:0.170344:0.737989:0.170344:0.737989:0.153596:0.724684:0.153596:0.000000
2:@0.739879:0.164259:0.745637:0.164259:0.745637:0.154406:0.739879:0.154406:0.000000
Si :@0.122474:0.199810:0.138912:0.199810:0.138912:0.183421:0.122474:0.183421:0.000000:0.000000:0.000000
:@0.297631:0.200682:0.310935:0.200682:0.310935:0.183933:0.297631:0.183933:0.000000
(:@0.170312:0.202942:0.176449:0.202942:0.176449:0.183009:0.170312:0.183009:0.000000
):@0.201455:0.202942:0.207592:0.202942:0.207592:0.183009:0.201455:0.183009:0.000000
(:@0.239674:0.202942:0.245810:0.202942:0.245810:0.183009:0.239674:0.183009:0.000000
):@0.271978:0.202942:0.278114:0.202942:0.278114:0.183009:0.271978:0.183009:0.000000
=:@0.157644:0.200488:0.167761:0.200488:0.167761:0.184915:0.157644:0.184915:0.000000
=:@0.227006:0.200488:0.237123:0.200488:0.237123:0.184915:0.227006:0.184915:0.000000
∈:@0.281146:0.200488:0.294285:0.200488:0.294285:0.184915:0.281146:0.184915:0.000000
,:@0.187018:0.199810:0.190224:0.199810:0.190224:0.183421:0.187018:0.183421:0.000000
,:@0.209057:0.199810:0.212264:0.199810:0.212264:0.183421:0.209057:0.183421:0.000000
,:@0.256380:0.199810:0.259586:0.199810:0.259586:0.183421:0.256380:0.183421:0.000000
2:@0.311713:0.192148:0.316924:0.192148:0.316924:0.182650:0.311713:0.182650:0.000000
U:@0.143090:0.199810:0.154146:0.199810:0.154146:0.183449:0.143090:0.183449:0.000000
a bV:@0.177126:0.199810:0.221942:0.199810:0.221942:0.183449:0.177126:0.183449:0.000000:0.000000:0.000000:0.000000
ad:@0.246487:0.199810:0.270572:0.199810:0.270572:0.183449:0.246487:0.183449:0.000000:0.000000
. La suma se define de la  Si :@0.320142:0.199810:0.539765:0.199803:0.539765:0.183414:0.320142:0.183421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente manera::@0.122469:0.216407:0.253506:0.216407:0.253506:0.200018:0.122469:0.200018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.193200:0.241388:0.196406:0.241388:0.196406:0.224999:0.193200:0.224999:0.000000
,:@0.243194:0.241388:0.246400:0.241388:0.246400:0.224999:0.243194:0.224999:0.000000
,:@0.319632:0.241388:0.322838:0.241388:0.322838:0.224999:0.319632:0.224999:0.000000
(:@0.176501:0.244520:0.182637:0.244520:0.182637:0.224586:0.176501:0.224586:0.000000
) (:@0.207643:0.244520:0.233792:0.244520:0.233792:0.224586:0.207643:0.224586:0.000000:0.000000:0.000000
) (:@0.258799:0.244520:0.286396:0.244520:0.286396:0.224586:0.258799:0.224586:0.000000:0.000000:0.000000
):@0.358688:0.244520:0.364824:0.244520:0.364824:0.224586:0.358688:0.224586:0.000000
+=:@0.138283:0.242066:0.173941:0.242066:0.173941:0.226493:0.138283:0.226493:0.000000:0.000000
+:@0.215495:0.242066:0.225612:0.242066:0.225612:0.226493:0.215495:0.226493:0.000000
=:@0.267590:0.242066:0.277707:0.242066:0.277707:0.226493:0.267590:0.226493:0.000000
+:@0.298374:0.242066:0.308491:0.242066:0.308491:0.226493:0.298374:0.226493:0.000000
+:@0.335488:0.242066:0.345604:0.242066:0.345604:0.226493:0.335488:0.226493:0.000000
UV:@0.124672:0.241388:0.158763:0.241388:0.158763:0.225027:0.124672:0.225027:0.000000:0.000000
ab:@0.183309:0.241388:0.207025:0.241388:0.207025:0.225027:0.183309:0.225027:0.000000:0.000000
cd:@0.234464:0.241388:0.257406:0.241388:0.257406:0.225027:0.234464:0.225027:0.000000:0.000000
ac bd:@0.287075:0.241388:0.357279:0.241388:0.357279:0.225027:0.287075:0.225027:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades::@0.122474:0.272656:0.226664:0.272656:0.226664:0.255755:0.122474:0.255755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.122474:0.297633:0.141215:0.297633:0.141215:0.280498:0.122474:0.280498:0.000000:0.000000:0.000000
Conmutativa:  ,:@0.155718:0.297633:0.275796:0.297637:0.275796:0.281248:0.155718:0.281244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.307417:0.298508:0.320722:0.298508:0.320722:0.281760:0.307417:0.281760:0.000000
∈:@0.290925:0.298315:0.304064:0.298315:0.304064:0.282742:0.290925:0.282742:0.000000
+ =+:@0.346576:0.298315:0.407369:0.298315:0.407369:0.282742:0.346576:0.282742:0.000000:0.000000:0.000000:0.000000
,:@0.328812:0.297637:0.332018:0.297637:0.332018:0.281248:0.328812:0.281248:0.000000
2:@0.321501:0.289976:0.326713:0.289976:0.326713:0.280478:0.321501:0.280478:0.000000
UV:@0.260407:0.297637:0.285505:0.297637:0.285505:0.281276:0.260407:0.281276:0.000000:0.000000
UV VU:@0.332975:0.297637:0.420034:0.297637:0.420034:0.281276:0.332975:0.281276:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.122474:0.322469:0.141215:0.322469:0.141215:0.305333:0.122474:0.305333:0.000000:0.000000:0.000000
Asociativa:  ,,:@0.155718:0.322469:0.270066:0.322620:0.270066:0.306231:0.155718:0.306080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.307057:0.323491:0.320362:0.323491:0.320362:0.306742:0.307057:0.306742:0.000000
(:@0.358361:0.325751:0.364498:0.325751:0.364498:0.305818:0.358361:0.305818:0.000000
) (:@0.405849:0.325751:0.433446:0.325751:0.433446:0.305818:0.405849:0.305818:0.000000:0.000000:0.000000
):@0.470135:0.325751:0.476271:0.325751:0.476271:0.305818:0.470135:0.305818:0.000000
∈:@0.290568:0.323297:0.303707:0.323297:0.303707:0.307724:0.290568:0.307724:0.000000
+:@0.346219:0.323297:0.356336:0.323297:0.356336:0.307724:0.346219:0.307724:0.000000
+:@0.377270:0.323297:0.387387:0.323297:0.387387:0.307724:0.377270:0.307724:0.000000
=:@0.414641:0.323297:0.424758:0.323297:0.424758:0.307724:0.414641:0.307724:0.000000
+:@0.446940:0.323297:0.457056:0.323297:0.457056:0.307724:0.446940:0.307724:0.000000
+:@0.477990:0.323297:0.488107:0.323297:0.488107:0.307724:0.477990:0.307724:0.000000
,:@0.328463:0.322620:0.331670:0.322620:0.331670:0.306231:0.328463:0.306231:0.000000
2:@0.321141:0.314957:0.326353:0.314957:0.326353:0.305459:0.321141:0.305459:0.000000
UV W:@0.239054:0.322620:0.285492:0.322620:0.285492:0.306258:0.239054:0.306258:0.000000:0.000000:0.000000:0.000000
U:@0.332611:0.322620:0.343668:0.322620:0.343668:0.306258:0.332611:0.306258:0.000000
VW:@0.364012:0.322620:0.403484:0.322620:0.403484:0.306258:0.364012:0.306258:0.000000:0.000000
UV:@0.433318:0.322620:0.467409:0.322620:0.467409:0.306258:0.433318:0.306258:0.000000:0.000000
W:@0.489338:0.322620:0.504209:0.322620:0.504209:0.306258:0.489338:0.306258:0.000000
3. :@0.122463:0.346200:0.141203:0.346200:0.141203:0.329065:0.122463:0.329065:0.000000:0.000000:0.000000
Existe un elemento neutro: :@0.155706:0.346200:0.356860:0.346200:0.356860:0.329811:0.155706:0.329811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.200475:0.366176:0.144252:0.366176:0.144252:0.349428:0.200475:0.349428:0.000000
:@0.270003:0.366176:0.213780:0.366176:0.213780:0.349428:0.270003:0.349428:0.000000
∈:@0.183982:0.365983:0.197121:0.365983:0.197121:0.350410:0.183982:0.350410:0.000000
∀ ∈:@0.225555:0.365983:0.266649:0.365983:0.266649:0.350410:0.225555:0.350410:0.000000:0.000000:0.000000
+ =+ =:@0.309161:0.365983:0.398535:0.365983:0.398535:0.350410:0.309161:0.350410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.291415:0.365305:0.294622:0.365305:0.294622:0.348916:0.291415:0.348916:0.000000
2:@0.214557:0.357643:0.219769:0.357643:0.219769:0.348145:0.214557:0.348145:0.000000
2:@0.284082:0.357643:0.289293:0.357643:0.289293:0.348145:0.284082:0.348145:0.000000
O:@0.168279:0.365305:0.180164:0.365305:0.180164:0.348944:0.168279:0.348944:0.000000
U:@0.238580:0.365305:0.249637:0.365305:0.249637:0.348944:0.238580:0.348944:0.000000
UO OU U:@0.295540:0.365305:0.411708:0.365305:0.411708:0.348944:0.295540:0.348944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.122468:0.391818:0.141208:0.391818:0.141208:0.374682:0.122468:0.374682:0.000000:0.000000:0.000000
Existen los opuestos aditivos: :@0.155711:0.391818:0.371753:0.391818:0.371753:0.375429:0.155711:0.375429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.189325:0.410538:0.153686:0.410538:0.153686:0.393789:0.189325:0.393789:0.000000
:@0.238269:0.410538:0.202629:0.410538:0.202629:0.393789:0.238269:0.393789:0.000000
∈:@0.172832:0.410344:0.185971:0.410344:0.185971:0.394771:0.172832:0.394771:0.000000
∈:@0.221776:0.410344:0.234915:0.410344:0.234915:0.394771:0.221776:0.394771:0.000000
+=:@0.276541:0.410344:0.312199:0.410344:0.312199:0.394771:0.276541:0.394771:0.000000:0.000000
,:@0.203459:0.409666:0.206665:0.409666:0.206665:0.393277:0.203459:0.393277:0.000000
2:@0.252356:0.402004:0.257567:0.402004:0.257567:0.392506:0.252356:0.392506:0.000000
U:@0.157914:0.409666:0.168971:0.409666:0.168971:0.393305:0.157914:0.393305:0.000000
V:@0.207226:0.409666:0.216348:0.409666:0.216348:0.393305:0.207226:0.393305:0.000000
UV O:@0.262933:0.409666:0.326644:0.409666:0.326644:0.393305:0.262933:0.393305:0.000000:0.000000:0.000000:0.000000
, siendo   el opuesto :@0.327147:0.409940:0.482822:0.409940:0.482822:0.393552:0.327147:0.393552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.387792:0.409940:0.396914:0.409940:0.396914:0.393579:0.387792:0.393579:0.000000
aditivo de   es decir   = –:@0.155714:0.426537:0.345372:0.426537:0.345372:0.410148:0.155714:0.410148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.232539:0.426537:0.243596:0.426537:0.243596:0.410176:0.232539:0.410176:0.000000
V:@0.307982:0.426537:0.317104:0.426537:0.317104:0.410176:0.307982:0.410176:0.000000
U:@0.345372:0.426537:0.356428:0.426537:0.356428:0.410176:0.345372:0.410176:0.000000
:@0.694853:0.200682:0.708158:0.200682:0.708158:0.183933:0.694853:0.183933:0.000000
(:@0.568688:0.202942:0.574824:0.202942:0.574824:0.183009:0.568688:0.183009:0.000000
):@0.599830:0.202942:0.605967:0.202942:0.605967:0.183009:0.599830:0.183009:0.000000
(:@0.638049:0.202942:0.644186:0.202942:0.644186:0.183009:0.638049:0.183009:0.000000
):@0.669192:0.202942:0.675328:0.202942:0.675328:0.183009:0.669192:0.183009:0.000000
=:@0.556018:0.200488:0.566135:0.200488:0.566135:0.184915:0.556018:0.184915:0.000000
=:@0.625380:0.200488:0.635496:0.200488:0.635496:0.184915:0.625380:0.184915:0.000000
∈:@0.678359:0.200488:0.691498:0.200488:0.691498:0.184915:0.678359:0.184915:0.000000
,:@0.585392:0.199810:0.588598:0.199810:0.588598:0.183421:0.585392:0.183421:0.000000
,:@0.607431:0.199810:0.610637:0.199810:0.610637:0.183421:0.607431:0.183421:0.000000
,:@0.653601:0.199810:0.656807:0.199810:0.656807:0.183421:0.653601:0.183421:0.000000
.  La resta se define de :@0.715481:0.199810:0.876793:0.199810:0.876793:0.183421:0.715481:0.183421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.708937:0.192148:0.714149:0.192148:0.714149:0.182650:0.708937:0.182650:0.000000
U:@0.541465:0.199810:0.552522:0.199810:0.552522:0.183449:0.541465:0.183449:0.000000
a bV:@0.575501:0.199810:0.620317:0.199810:0.620317:0.183449:0.575501:0.183449:0.000000:0.000000:0.000000:0.000000
cd:@0.644863:0.199810:0.667805:0.199810:0.667805:0.183449:0.644863:0.183449:0.000000:0.000000
la siguiente manera::@0.523332:0.216407:0.670678:0.216407:0.670678:0.200018:0.523332:0.200018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.539916:0.241388:0.549129:0.241388:0.549129:0.224999:0.539916:0.224999:0.000000
–:@0.609867:0.241388:0.619081:0.241388:0.619081:0.224999:0.609867:0.224999:0.000000
–, –:@0.670789:0.241388:0.717484:0.241388:0.717484:0.224999:0.670789:0.224999:0.000000:0.000000:0.000000:0.000000
( ) (:@0.603052:0.244520:0.658032:0.244520:0.658032:0.224586:0.603052:0.224586:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.731060:0.244520:0.737197:0.244520:0.737197:0.224586:0.731060:0.224586:0.000000
=+:@0.565044:0.242066:0.601015:0.242066:0.601015:0.226493:0.565044:0.226493:0.000000:0.000000
=:@0.639234:0.242066:0.649351:0.242066:0.649351:0.226493:0.639234:0.226493:0.000000
UV U:@0.525535:0.241388:0.588374:0.241388:0.588374:0.225027:0.525535:0.225027:0.000000:0.000000:0.000000:0.000000
V:@0.618632:0.241388:0.627753:0.241388:0.627753:0.225027:0.618632:0.225027:0.000000
ac bd:@0.658730:0.241388:0.729650:0.241388:0.729650:0.225027:0.658730:0.225027:0.000000:0.000000:0.000000:0.000000:0.000000
Teoremas: :@0.523321:0.272656:0.608217:0.272656:0.608217:0.255755:0.523321:0.255755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.523321:0.300856:0.542061:0.300856:0.542061:0.283720:0.523321:0.283720:0.000000:0.000000:0.000000
UV:@0.576246:0.297637:0.610338:0.297637:0.610338:0.281276:0.576246:0.281276:0.000000:0.000000
U:@0.650428:0.297637:0.661484:0.297637:0.661484:0.281276:0.650428:0.281276:0.000000
V:@0.698174:0.297637:0.707295:0.297637:0.707295:0.281276:0.698174:0.281276:0.000000
(:@0.570226:0.300770:0.576362:0.300770:0.576362:0.280837:0.570226:0.280837:0.000000
) ( ) ( ):@0.613051:0.300770:0.716144:0.300770:0.716144:0.280837:0.613051:0.280837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.589858:0.298315:0.599975:0.298315:0.599975:0.282742:0.589858:0.282742:0.000000
=:@0.621848:0.298315:0.631965:0.298315:0.631965:0.282742:0.621848:0.282742:0.000000
+:@0.670479:0.298315:0.680595:0.298315:0.680595:0.282742:0.670479:0.282742:0.000000
–:@0.559546:0.297637:0.568760:0.297637:0.568760:0.281248:0.559546:0.281248:0.000000
–:@0.641328:0.297637:0.650542:0.297637:0.650542:0.281248:0.641328:0.281248:0.000000
–:@0.689429:0.297637:0.698643:0.297637:0.698643:0.281248:0.689429:0.281248:0.000000
2. :@0.523322:0.326944:0.542063:0.326944:0.542063:0.309808:0.523322:0.309808:0.000000:0.000000:0.000000
:@0.632158:0.326560:0.645462:0.326560:0.645462:0.309812:0.632158:0.309812:0.000000
∀:@0.559181:0.326366:0.515821:0.326366:0.515821:0.310793:0.559181:0.310793:0.000000
∈:@0.615671:0.326366:0.572310:0.326366:0.572310:0.310793:0.615671:0.310793:0.000000
+= + ⇔ =:@0.670889:0.326366:0.790466:0.326366:0.790466:0.310793:0.670889:0.310793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,,:@0.582086:0.325689:0.599740:0.325689:0.599740:0.310019:0.582086:0.310019:0.000000:0.000000
,:@0.653545:0.325689:0.656751:0.325689:0.656751:0.310019:0.653545:0.310019:0.000000
2:@0.646240:0.318026:0.651451:0.318026:0.651451:0.308945:0.646240:0.308945:0.000000
A B C:@0.572214:0.325689:0.611026:0.325689:0.611026:0.310296:0.572214:0.310296:0.000000:0.000000:0.000000:0.000000:0.000000
AB AC:@0.659589:0.325689:0.742804:0.325689:0.742804:0.310296:0.659589:0.310296:0.000000:0.000000:0.000000:0.000000:0.000000
B C:@0.768122:0.325689:0.802958:0.325689:0.802958:0.310296:0.768122:0.310296:0.000000:0.000000:0.000000
3. :@0.523321:0.351927:0.542061:0.351927:0.542061:0.334792:0.523321:0.334792:0.000000:0.000000:0.000000
El elemento nulo :@0.556564:0.351927:0.685558:0.351927:0.685558:0.335538:0.556564:0.335538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.702737:0.351927:0.705943:0.351927:0.705943:0.335538:0.702737:0.335538:0.000000
2:@0.720590:0.344266:0.725802:0.344266:0.725802:0.334768:0.720590:0.334768:0.000000
de:@0.685566:0.351927:0.702575:0.351927:0.702575:0.335566:0.685566:0.335566:0.000000:0.000000
:@0.706500:0.352799:0.719804:0.352799:0.719804:0.336050:0.706500:0.336050:0.000000
 es único.:@0.726038:0.351927:0.794331:0.351927:0.794331:0.335538:0.726038:0.335538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.523316:0.376905:0.542056:0.376905:0.542056:0.359769:0.523316:0.359769:0.000000:0.000000:0.000000
Para :@0.556559:0.376905:0.591461:0.376905:0.591461:0.360516:0.556559:0.360516:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.624405:0.377780:0.637709:0.377780:0.637709:0.361031:0.624405:0.361031:0.000000
∈:@0.607912:0.377586:0.621051:0.377586:0.621051:0.362013:0.607912:0.362013:0.000000
, el opuesto aditivo –:@0.645817:0.376909:0.798785:0.376909:0.798785:0.360520:0.645817:0.360520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.638487:0.369248:0.643698:0.369248:0.643698:0.359750:0.638487:0.359750:0.000000
U:@0.592994:0.376909:0.604050:0.376909:0.604050:0.360547:0.592994:0.360547:0.000000
:@0.830094:0.377780:0.843399:0.377780:0.843399:0.361031:0.830094:0.361031:0.000000
∈:@0.813601:0.377586:0.826740:0.377586:0.826740:0.362013:0.813601:0.362013:0.000000
2:@0.844176:0.369248:0.849388:0.369248:0.849388:0.359750:0.844176:0.359750:0.000000
U:@0.798683:0.376909:0.809740:0.376909:0.809740:0.360547:0.798683:0.360547:0.000000
 es :@0.853599:0.376909:0.876818:0.376909:0.876818:0.360520:0.853599:0.360520:0.000000:0.000000:0.000000:0.000000
único.:@0.556564:0.393505:0.600975:0.393505:0.600975:0.377116:0.556564:0.377116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de escalares por elementos de :@0.325316:0.453957:0.646006:0.453957:0.646006:0.437057:0.325316:0.437057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.648987:0.453993:0.662292:0.453993:0.662292:0.437244:0.648987:0.437244:0.000000
2:@0.664180:0.447907:0.669938:0.447907:0.669938:0.438054:0.664180:0.438054:0.000000
Si :@0.122474:0.483618:0.138912:0.483618:0.138912:0.467229:0.122474:0.467229:0.000000:0.000000:0.000000
:@0.171041:0.484490:0.123350:0.484490:0.123350:0.467741:0.171041:0.467741:0.000000
:@0.232037:0.484490:0.184346:0.484490:0.184346:0.467741:0.232037:0.467741:0.000000
∈:@0.154548:0.484296:0.106692:0.484296:0.106692:0.468723:0.154548:0.468723:0.000000
∈:@0.215544:0.484296:0.167687:0.484296:0.167687:0.468723:0.215544:0.468723:0.000000
.:@0.184391:0.483618:0.187598:0.483618:0.187598:0.467229:0.184391:0.467229:0.000000
.:@0.197641:0.483618:0.200847:0.483618:0.200847:0.467229:0.197641:0.467229:0.000000
.  El producto escalar se expresa así: :@0.252666:0.483618:0.513949:0.483618:0.513949:0.467229:0.252666:0.467229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.246114:0.475956:0.251325:0.475956:0.251325:0.466458:0.246114:0.466458:0.000000
a:@0.141934:0.483618:0.151203:0.483618:0.151203:0.467257:0.141934:0.467257:0.000000
y U:@0.189256:0.483618:0.211682:0.483618:0.211682:0.467257:0.189256:0.467257:0.000000:0.000000:0.000000
aU:@0.125458:0.498957:0.153800:0.498957:0.153800:0.482596:0.125458:0.482596:0.000000:0.000000
⋅:@0.136766:0.499635:0.141373:0.499635:0.141373:0.484062:0.136766:0.484062:0.000000
, y se define de la siguiente manera::@0.154932:0.498957:0.414068:0.500215:0.414068:0.483826:0.154932:0.482568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aU ax y:@0.230393:0.525196:0.323526:0.525196:0.323526:0.508835:0.230393:0.508835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
axay:@0.353471:0.525196:0.393459:0.525196:0.393459:0.508835:0.353471:0.508835:0.000000:0.000000:0.000000:0.000000
(:@0.292952:0.528328:0.299088:0.528328:0.299088:0.508394:0.292952:0.508394:0.000000
) (:@0.325200:0.528328:0.352801:0.528328:0.352801:0.508394:0.325200:0.508394:0.000000:0.000000:0.000000
):@0.395148:0.528328:0.401284:0.528328:0.401284:0.508394:0.395148:0.508394:0.000000
⋅= ⋅:@0.241701:0.525874:0.291179:0.525874:0.291179:0.510301:0.241701:0.510301:0.000000:0.000000:0.000000:0.000000
=:@0.334005:0.525874:0.344122:0.525874:0.344122:0.510301:0.334005:0.510301:0.000000
,:@0.310019:0.525196:0.313225:0.525196:0.313225:0.508807:0.310019:0.508807:0.000000
,:@0.371844:0.525196:0.375050:0.525196:0.375050:0.508807:0.371844:0.508807:0.000000
De modo que, el producto de un número real por un :@0.122474:0.551435:0.513912:0.551435:0.513912:0.535046:0.122474:0.535046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento de :@0.122474:0.568031:0.222977:0.568031:0.222977:0.551642:0.122474:0.551642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.225785:0.569122:0.239089:0.569122:0.239089:0.552374:0.225785:0.552374:0.000000
2:@0.239867:0.560590:0.245078:0.560590:0.245078:0.551092:0.239867:0.551092:0.000000
 da como resultado otro elemento :@0.246256:0.568031:0.513989:0.568031:0.513989:0.551642:0.246256:0.551642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de :@0.122478:0.584627:0.145475:0.584627:0.145475:0.568238:0.122478:0.568238:0.000000:0.000000:0.000000
:@0.146281:0.585817:0.159586:0.585817:0.159586:0.569068:0.146281:0.569068:0.000000
2:@0.160363:0.577283:0.165575:0.577283:0.165575:0.567785:0.160363:0.567785:0.000000
.:@0.165453:0.584629:0.168659:0.584629:0.168659:0.568240:0.165453:0.568240:0.000000
Propiedades::@0.523317:0.478910:0.627507:0.478910:0.627507:0.462009:0.523317:0.462009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.523317:0.505146:0.542058:0.505146:0.542058:0.488010:0.523317:0.488010:0.000000:0.000000:0.000000
abU:@0.559546:0.503885:0.596936:0.503885:0.596936:0.487523:0.559546:0.487523:0.000000:0.000000:0.000000
abU baU:@0.626346:0.503885:0.717250:0.503885:0.717250:0.487523:0.626346:0.487523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.570226:0.507017:0.651584:0.507017:0.651584:0.487083:0.570226:0.487083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.690163:0.507017:0.724512:0.507017:0.724512:0.487083:0.690163:0.487083:0.000000:0.000000:0.000000
=:@0.606871:0.504562:0.616988:0.504562:0.616988:0.488990:0.606871:0.488990:0.000000
=:@0.666817:0.504562:0.676933:0.504562:0.676933:0.488990:0.666817:0.488990:0.000000
2. :@0.523321:0.532638:0.542061:0.532638:0.542061:0.515502:0.523321:0.515502:0.000000:0.000000:0.000000
ab UaUbU:@0.565986:0.530125:0.688972:0.530125:0.688972:0.513763:0.565986:0.513763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.559179:0.533256:0.565316:0.533256:0.565316:0.513323:0.559179:0.513323:0.000000
):@0.599333:0.533256:0.605469:0.533256:0.605469:0.513323:0.599333:0.513323:0.000000
+:@0.577293:0.530802:0.587410:0.530802:0.587410:0.515229:0.577293:0.515229:0.000000
=:@0.620691:0.530802:0.630807:0.530802:0.630807:0.515229:0.620691:0.515229:0.000000
+:@0.656551:0.530802:0.666668:0.530802:0.666668:0.515229:0.656551:0.515229:0.000000
3. :@0.523319:0.558878:0.542060:0.558878:0.542060:0.541742:0.523319:0.541742:0.000000:0.000000:0.000000
aU V:@0.559546:0.557621:0.610333:0.557621:0.610333:0.541259:0.559546:0.541259:0.000000:0.000000:0.000000:0.000000
aUaV:@0.634878:0.557621:0.688553:0.557621:0.688553:0.541259:0.634878:0.541259:0.000000:0.000000:0.000000:0.000000
(:@0.570226:0.560752:0.576362:0.560752:0.576362:0.540819:0.570226:0.540819:0.000000
):@0.613051:0.560752:0.619188:0.560752:0.619188:0.540819:0.613051:0.540819:0.000000
+:@0.589858:0.558298:0.599975:0.558298:0.599975:0.542725:0.589858:0.542725:0.000000
=:@0.621848:0.558298:0.631965:0.558298:0.631965:0.542725:0.621848:0.542725:0.000000
+:@0.657708:0.558298:0.667825:0.558298:0.667825:0.542725:0.657708:0.542725:0.000000
4. :@0.523316:0.582598:0.542056:0.582598:0.542056:0.565462:0.523316:0.565462:0.000000:0.000000:0.000000
VV:@0.571482:0.582602:0.606679:0.582602:0.606679:0.566241:0.571482:0.566241:0.000000:0.000000
⋅=:@0.565880:0.583280:0.595788:0.583280:0.595788:0.567707:0.565880:0.567707:0.000000:0.000000
1:@0.558030:0.582602:0.567023:0.582602:0.567023:0.566213:0.558030:0.566213:0.000000
 :@0.115090:0.843087:0.119126:0.843087:0.119126:0.826698:0.115090:0.826698:0.000000
El vector 2  + 3  lo :@0.148334:0.843087:0.281473:0.843087:0.281473:0.826698:0.148334:0.826698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.224219:0.843087:0.228015:0.843087:0.228015:0.826726:0.224219:0.826726:0.000000
j:@0.256062:0.843087:0.259692:0.843087:0.259692:0.826726:0.256062:0.826726:0.000000
expresamos:@0.281473:0.843087:0.373704:0.843087:0.373704:0.826463:0.281473:0.826463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 como: (2, 3):@0.373704:0.843087:0.462893:0.843087:0.462893:0.826698:0.373704:0.826698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sumamos:@0.148334:0.866806:0.224606:0.866806:0.224606:0.850182:0.148334:0.850182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:   +   – 2  = 2  + 3 ;:@0.224606:0.866806:0.372561:0.866806:0.372561:0.850417:0.224606:0.850417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.231848:0.866806:0.241743:0.866806:0.241743:0.850445:0.231848:0.850445:0.000000
B:@0.260797:0.866806:0.269643:0.866806:0.269643:0.850445:0.260797:0.850445:0.000000
C:@0.295921:0.866806:0.305835:0.866806:0.305835:0.850445:0.295921:0.850445:0.000000
i:@0.333881:0.866806:0.337678:0.866806:0.337678:0.850445:0.333881:0.850445:0.000000
j:@0.365724:0.866806:0.369355:0.866806:0.369355:0.850445:0.365724:0.850445:0.000000
(1,  +2) + (b –1, 1) –2(1, –1) =(2, 3):@0.148334:0.890525:0.401548:0.890525:0.401548:0.874136:0.148334:0.874136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.169452:0.890525:0.178721:0.890525:0.178721:0.874164:0.169452:0.874164:0.000000
(1+  –1 –2,   + 2 + 1 + 2) = (2, 3):@0.148334:0.914244:0.386529:0.914244:0.386529:0.897855:0.148334:0.897855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.173192:0.914244:0.182462:0.914244:0.182462:0.897883:0.173192:0.897883:0.000000
a:@0.234188:0.914244:0.243457:0.914244:0.243457:0.897883:0.234188:0.897883:0.000000
(  –2,   + 5) = (2, 3):@0.574159:0.843073:0.714044:0.843073:0.714044:0.826684:0.574159:0.826684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.579043:0.843073:0.588312:0.843073:0.588312:0.826712:0.579043:0.826712:0.000000
a:@0.617796:0.843073:0.627065:0.843073:0.627065:0.826712:0.617796:0.826712:0.000000
 :@0.540916:0.866792:0.544952:0.866792:0.544952:0.850403:0.540916:0.850403:0.000000
Por la igualdad de vectores tenemos los :@0.574159:0.866792:0.883945:0.866792:0.883945:0.850403:0.574159:0.850403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores de   y  .:@0.574159:0.883388:0.690567:0.883388:0.690567:0.867000:0.574159:0.867000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.652643:0.883388:0.687360:0.883388:0.687360:0.867027:0.652643:0.867027:0.000000:0.000000:0.000000
 :@0.540916:0.910883:0.544952:0.910883:0.544952:0.894494:0.540916:0.894494:0.000000
=:@0.614626:0.906894:0.624743:0.906894:0.624743:0.891321:0.614626:0.891321:0.000000
=:@0.672157:0.906894:0.682274:0.906894:0.682274:0.891321:0.672157:0.891321:0.000000
+=:@0.721525:0.906894:0.754879:0.906894:0.754879:0.891321:0.721525:0.891321:0.000000:0.000000
=:@0.802256:0.906894:0.812373:0.906894:0.812373:0.891321:0.802256:0.891321:0.000000
–2 2:@0.591382:0.906216:0.636290:0.906216:0.636290:0.889827:0.591382:0.889827:0.000000:0.000000:0.000000:0.000000
4;:@0.685566:0.906216:0.698668:0.906216:0.698668:0.889827:0.685566:0.889827:0.000000:0.000000
,,:@0.700382:0.906216:0.708508:0.906216:0.708508:0.889827:0.700382:0.889827:0.000000:0.000000
53:@0.733680:0.906216:0.766445:0.906216:0.766445:0.889827:0.733680:0.889827:0.000000:0.000000
–2:@0.815296:0.906216:0.833503:0.906216:0.833503:0.889827:0.815296:0.889827:0.000000:0.000000
b:@0.579294:0.906216:0.588563:0.906216:0.588563:0.889855:0.579294:0.889855:0.000000
b:@0.659915:0.906216:0.669184:0.906216:0.669184:0.889855:0.659915:0.889855:0.000000
a:@0.710222:0.906216:0.719491:0.906216:0.719491:0.889855:0.710222:0.889855:0.000000
a:@0.790014:0.906216:0.799283:0.906216:0.799283:0.889855:0.790014:0.889855:0.000000