﻿80:@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
Operaciones con vectores en el plano:@0.115891:0.141978:0.665855:0.141978:0.665855:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.584380:0.272331:0.584380:0.272331:0.565943:0.115209:0.565943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados los vectores  ,:@0.115209:0.609255:0.283456:0.607998:0.283456:0.591609:0.115209:0.592866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.271293:0.596846:0.292871:0.596846:0.292871:0.580097:0.271293:0.580097:0.000000:0.000000
:@0.388824:0.596846:0.347693:0.596846:0.347693:0.580097:0.388824:0.580097:0.000000
:@0.437510:0.596846:0.396379:0.596846:0.396379:0.580097:0.437510:0.580097:0.000000
∈:@0.296631:0.608671:0.309769:0.608671:0.309769:0.593098:0.296631:0.593098:0.000000
=:@0.405575:0.608671:0.415691:0.608671:0.415691:0.593098:0.405575:0.593098:0.000000
=:@0.453894:0.608676:0.464010:0.608676:0.464010:0.593103:0.453894:0.593103:0.000000
uv:@0.270354:0.607998:0.292117:0.607998:0.292117:0.591637:0.270354:0.591637:0.000000:0.000000
V:@0.311982:0.607998:0.321104:0.607998:0.321104:0.591637:0.311982:0.591637:0.000000
u:@0.387886:0.607998:0.397210:0.607998:0.397210:0.591637:0.387886:0.591637:0.000000
v:@0.436572:0.607998:0.444311:0.607998:0.444311:0.591637:0.436572:0.591637:0.000000
.:@0.326688:0.607998:0.329894:0.607998:0.329894:0.591609:0.326688:0.591609:0.000000
donde:@0.330097:0.607998:0.378101:0.607998:0.378101:0.591609:0.330097:0.591609:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.377898:0.607998:0.381104:0.607998:0.381104:0.591609:0.377898:0.591609:0.000000
3,:@0.418255:0.607998:0.430196:0.607998:0.430196:0.591609:0.418255:0.591609:0.000000:0.000000
3,  el ángulo (sentido antihorario) que se forma entre  :@0.466572:0.607998:0.883923:0.609255:0.883923:0.592866:0.466572:0.591609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.320137:0.610002:0.325349:0.610002:0.325349:0.600504:0.320137:0.600504:0.000000
ambos vectores es de 120°. :@0.115195:0.632988:0.324312:0.632988:0.324312:0.616599:0.115195:0.616599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculemos:@0.325879:0.632988:0.414442:0.632988:0.414442:0.616364:0.325879:0.616364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la norma y :@0.414442:0.632988:0.504369:0.632988:0.504369:0.616599:0.414442:0.616599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinemos:@0.505935:0.632988:0.618802:0.632988:0.618802:0.616364:0.505935:0.616364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el ángulo para el siguiente vector: :@0.618802:0.632988:0.883884:0.632988:0.883884:0.616599:0.618802:0.616599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.118559:0.640951:0.130722:0.640951:0.130722:0.624202:0.118559:0.624202:0.000000:0.000000
:@0.156668:0.640951:0.164223:0.640951:0.164223:0.624202:0.156668:0.624202:0.000000
:@0.188437:0.640951:0.195992:0.640951:0.195992:0.624202:0.188437:0.624202:0.000000
=:@0.134260:0.652776:0.144377:0.652776:0.144377:0.637203:0.134260:0.637203:0.000000
w:@0.117398:0.652098:0.130132:0.652098:0.130132:0.635737:0.117398:0.635737:0.000000
u:@0.155728:0.652098:0.165052:0.652098:0.165052:0.635737:0.155728:0.635737:0.000000
v:@0.187497:0.652098:0.195237:0.652098:0.195237:0.635737:0.187497:0.635737:0.000000
2–3.  :@0.146920:0.652098:0.206357:0.652103:0.206357:0.635714:0.146920:0.635709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectuamos:@0.115214:0.675822:0.205067:0.675822:0.205067:0.659198:0.115214:0.659198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un gráfico.:@0.205067:0.675822:0.286296:0.675822:0.286296:0.659433:0.205067:0.659433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.054279:0.122645:0.076231:0.122645:0.076231:0.065614:0.054279:0.065614:0.000000
M.5.2.3. Sumar, restar vectores y multiplicar un escalar por un vector de forma geométrica y de forma analítica, aplicando propiedades de los números reales y de :@0.125388:0.069719:0.877720:0.069719:0.877720:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los vectores en el plano.:@0.125388:0.080280:0.236988:0.080280:0.236988:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición:@0.278896:0.172807:0.339726:0.172807:0.339726:0.155907:0.278896:0.155907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resta:@0.669304:0.172807:0.712867:0.172807:0.712867:0.155907:0.669304:0.155907:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  ,, ,0:@0.122483:0.203593:0.215750:0.203567:0.215750:0.187178:0.122483:0.187205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.160949:0.192416:0.215035:0.192416:0.215035:0.175668:0.160949:0.175668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.295230:0.204438:0.308535:0.204438:0.308535:0.187690:0.295230:0.187690:0.000000
α:@0.261456:0.204245:0.273084:0.204245:0.277649:0.188672:0.266021:0.188672:0.000000
∈:@0.219007:0.204245:0.232146:0.204245:0.232146:0.188672:0.219007:0.188672:0.000000
∈:@0.278749:0.204245:0.291888:0.204245:0.291888:0.188672:0.278749:0.188672:0.000000
;:@0.249841:0.203567:0.253047:0.203567:0.253047:0.187178:0.249841:0.187178:0.000000
...:@0.253969:0.203567:0.263256:0.203567:0.263256:0.187178:0.253969:0.187178:0.000000:0.000000:0.000000
2:@0.242514:0.205571:0.247725:0.205571:0.247725:0.196073:0.242514:0.196073:0.000000
uv w:@0.160008:0.203567:0.200438:0.203567:0.200438:0.187206:0.160008:0.187206:0.000000:0.000000:0.000000:0.000000
V:@0.234345:0.203567:0.243467:0.203567:0.243467:0.187206:0.234345:0.187206:0.000000
, la adición de vectores  Se define el vector  – de:@0.309843:0.203595:0.703806:0.203567:0.703806:0.187178:0.309843:0.187206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumple con las siguientes propiedades.:@0.122471:0.220191:0.411761:0.220191:0.411761:0.203802:0.122471:0.203802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.122471:0.246427:0.141212:0.246427:0.141212:0.229291:0.122471:0.229291:0.000000:0.000000:0.000000
Conmutativa: :@0.155714:0.246427:0.258209:0.246427:0.258209:0.230038:0.155714:0.230038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.261767:0.235284:0.339587:0.235284:0.339587:0.218535:0.261767:0.218535:0.000000:0.000000:0.000000:0.000000:0.000000
+= +:@0.272142:0.247109:0.329065:0.247109:0.329065:0.231536:0.272142:0.231536:0.000000:0.000000:0.000000:0.000000
uv vu:@0.260846:0.246431:0.340435:0.246431:0.340435:0.230070:0.260846:0.230070:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.122474:0.272673:0.141215:0.272673:0.141215:0.255538:0.122474:0.255538:0.000000:0.000000:0.000000
Asociativa: :@0.155718:0.272673:0.236947:0.272673:0.236947:0.256284:0.155718:0.256284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.240503:0.261522:0.248059:0.261522:0.248059:0.244774:0.240503:0.244774:0.000000
 :@0.269969:0.261522:0.305018:0.261522:0.305018:0.244774:0.269969:0.244774:0.000000:0.000000:0.000000:0.000000
:@0.335055:0.261522:0.365645:0.261522:0.365645:0.244774:0.335055:0.244774:0.000000:0.000000
:@0.387408:0.261522:0.399571:0.261522:0.399571:0.244774:0.387408:0.244774:0.000000:0.000000
(:@0.263013:0.278914:0.269150:0.278914:0.269150:0.252751:0.263013:0.252751:0.000000
) (:@0.306208:0.278914:0.333812:0.278914:0.333812:0.252751:0.306208:0.252751:0.000000:0.000000:0.000000
):@0.366687:0.278914:0.372824:0.278914:0.372824:0.252751:0.366687:0.252751:0.000000
+:@0.250868:0.273351:0.260985:0.273351:0.260985:0.257778:0.250868:0.257778:0.000000
+:@0.279984:0.273351:0.290100:0.273351:0.290100:0.257778:0.279984:0.257778:0.000000
=:@0.314996:0.273351:0.325113:0.273351:0.325113:0.257778:0.314996:0.257778:0.000000
+:@0.345420:0.273351:0.355537:0.273351:0.355537:0.257778:0.345420:0.257778:0.000000
+:@0.374517:0.273351:0.384634:0.273351:0.384634:0.257778:0.374517:0.257778:0.000000
u:@0.239553:0.272673:0.248878:0.272673:0.248878:0.256312:0.239553:0.256312:0.000000
v w:@0.269019:0.272673:0.304437:0.272673:0.304437:0.256312:0.269019:0.256312:0.000000:0.000000:0.000000
u v:@0.334106:0.272673:0.364881:0.272673:0.364881:0.256312:0.334106:0.256312:0.000000:0.000000:0.000000
w:@0.386258:0.272673:0.398991:0.272673:0.398991:0.256312:0.386258:0.256312:0.000000
3. :@0.122474:0.300169:0.141215:0.300169:0.141215:0.283034:0.122474:0.283034:0.000000:0.000000:0.000000
Elemento neutro: :@0.155718:0.300169:0.286996:0.300169:0.286996:0.283780:0.155718:0.283780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.290551:0.287761:0.394114:0.287761:0.394114:0.271012:0.290551:0.271012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+= +=:@0.300907:0.299586:0.383058:0.299586:0.383058:0.284013:0.300907:0.284013:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.289593:0.298908:0.298917:0.298908:0.298917:0.282547:0.289593:0.282547:0.000000
u u:@0.360687:0.298908:0.394925:0.298908:0.394925:0.282547:0.360687:0.282547:0.000000:0.000000:0.000000
00:@0.313033:0.298908:0.346571:0.298908:0.346571:0.282519:0.313033:0.282519:0.000000:0.000000
4. :@0.122474:0.326409:0.141215:0.326409:0.141215:0.309273:0.122474:0.309273:0.000000:0.000000:0.000000
Opuestos aditivos: :@0.155718:0.326409:0.296411:0.326409:0.296411:0.310020:0.155718:0.310020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.302316:0.315257:0.404848:0.315257:0.404848:0.298508:0.302316:0.298508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+= +=:@0.312691:0.327082:0.394012:0.327082:0.394012:0.311509:0.312691:0.311509:0.000000:0.000000:0.000000:0.000000:0.000000
uv vu:@0.301395:0.326404:0.380984:0.326404:0.380984:0.310043:0.301395:0.310043:0.000000:0.000000:0.000000:0.000000:0.000000
0, el elemen-:@0.396574:0.326404:0.496160:0.326409:0.496160:0.310020:0.396574:0.310015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to   se llama opuesto aditivo de   y se denota :@0.155709:0.343006:0.500232:0.343006:0.500232:0.326617:0.155709:0.326617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.175722:0.343006:0.183461:0.343006:0.183461:0.326644:0.175722:0.326644:0.000000
u:@0.396374:0.343006:0.405699:0.343006:0.405699:0.326644:0.396374:0.326644:0.000000
como – .:@0.155709:0.359602:0.224408:0.359602:0.224408:0.343213:0.155709:0.343213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.211877:0.359602:0.221201:0.359602:0.221201:0.343241:0.211877:0.343241:0.000000
:@0.650312:0.192416:0.681271:0.192416:0.681271:0.175668:0.650312:0.175668:0.000000:0.000000
uv:@0.649371:0.203567:0.680513:0.203567:0.680513:0.187206:0.649371:0.187206:0.000000:0.000000
V:@0.706220:0.203567:0.715342:0.203567:0.715342:0.187206:0.706220:0.187206:0.000000
.:@0.681508:0.203567:0.684715:0.203567:0.684715:0.187178:0.681508:0.187178:0.000000
.:@0.703603:0.203567:0.706810:0.203567:0.706810:0.187178:0.703603:0.187178:0.000000
2:@0.714390:0.205571:0.719602:0.205571:0.719602:0.196073:0.714390:0.196073:0.000000
 del siguiente modo: :@0.723813:0.203567:0.876650:0.203567:0.876650:0.187178:0.723813:0.187178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.872615:0.203567:0.876650:0.203567:0.876650:0.187178:0.872615:0.187178:0.000000
 :@0.872615:0.203567:0.876650:0.203567:0.876650:0.187178:0.872615:0.187178:0.000000
 :@0.513110:0.211527:0.529253:0.211527:0.529253:0.194779:0.513110:0.194779:0.000000:0.000000:0.000000:0.000000
:@0.600420:0.211527:0.568614:0.211527:0.568614:0.194779:0.600420:0.194779:0.000000
( ):@0.583574:0.228919:0.615159:0.228919:0.615159:0.202756:0.583574:0.202756:0.000000:0.000000:0.000000
=+:@0.547452:0.223356:0.581544:0.223356:0.581544:0.207783:0.547452:0.207783:0.000000:0.000000
uv u:@0.512163:0.222678:0.569445:0.222678:0.569445:0.206317:0.512163:0.206317:0.000000:0.000000:0.000000:0.000000
v:@0.599482:0.222678:0.607222:0.222678:0.607222:0.206317:0.599482:0.206317:0.000000
–:@0.524260:0.222678:0.533474:0.222678:0.533474:0.206289:0.524260:0.206289:0.000000
–:@0.590379:0.222678:0.599593:0.222678:0.599593:0.206289:0.590379:0.206289:0.000000
La resta se define como la adición de un vector :@0.509550:0.252067:0.876647:0.252067:0.876647:0.235679:0.509550:0.235679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y del opuesto aditivo de otro vector. Tal que se :@0.509550:0.268664:0.876682:0.268664:0.876682:0.252275:0.509550:0.252275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cumpla la siguiente condición: :@0.509550:0.289036:0.737959:0.289036:0.737959:0.272647:0.509550:0.272647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.741308:0.276624:0.709852:0.276624:0.709852:0.259875:0.741308:0.259875:0.000000
:@0.780319:0.276624:0.748863:0.276624:0.748863:0.259875:0.780319:0.259875:0.000000
:@0.811093:0.276624:0.818649:0.276624:0.818649:0.259875:0.811093:0.259875:0.000000
( ):@0.763451:0.294015:0.795036:0.294015:0.795036:0.267853:0.763451:0.267853:0.000000:0.000000:0.000000
+:@0.751306:0.288453:0.761422:0.288453:0.761422:0.272880:0.751306:0.272880:0.000000
=:@0.797688:0.288453:0.807805:0.288453:0.807805:0.272880:0.797688:0.272880:0.000000
v:@0.740365:0.287775:0.748104:0.287775:0.748104:0.271414:0.740365:0.271414:0.000000
v:@0.779376:0.287775:0.787116:0.287775:0.787116:0.271414:0.779376:0.271414:0.000000
–:@0.770258:0.287775:0.779471:0.287775:0.779471:0.271386:0.770258:0.271386:0.000000
0:@0.810356:0.287775:0.819349:0.287775:0.819349:0.271386:0.810356:0.271386:0.000000
Multiplicación de un escalar por un vector:@0.143162:0.387308:0.475462:0.387308:0.475462:0.370407:0.143162:0.370407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto escalar o producto punto:@0.552569:0.387308:0.829588:0.387308:0.829588:0.370407:0.552569:0.370407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.122468:0.419491:0.152449:0.419491:0.152449:0.403102:0.122468:0.403102:0.000000:0.000000:0.000000:0.000000
  :@0.156014:0.407078:0.222612:0.407078:0.222612:0.390329:0.156014:0.390329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.187525:0.407078:0.195081:0.407078:0.195081:0.390329:0.187525:0.390329:0.000000
  :@0.251598:0.407078:0.308521:0.407078:0.308521:0.390329:0.251598:0.390329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.258398:0.407078:0.265954:0.407078:0.265954:0.390329:0.258398:0.390329:0.000000
:@0.294369:0.407078:0.301924:0.407078:0.301924:0.390329:0.294369:0.390329:0.000000
α:@0.236679:0.418906:0.248307:0.418906:0.252872:0.403333:0.241244:0.403333:0.000000
=:@0.167322:0.418906:0.177439:0.418906:0.177439:0.403333:0.167322:0.403333:0.000000
=:@0.226014:0.418906:0.236131:0.418906:0.236131:0.403333:0.226014:0.403333:0.000000
=:@0.274166:0.418906:0.284282:0.418906:0.284282:0.403333:0.274166:0.403333:0.000000
uABv:@0.155068:0.418229:0.221868:0.418229:0.221868:0.401867:0.155068:0.401867:0.000000:0.000000:0.000000:0.000000
AB AC:@0.252347:0.418229:0.307814:0.418229:0.307814:0.401867:0.252347:0.401867:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.200953:0.418229:0.204159:0.418229:0.204159:0.401840:0.200953:0.401840:0.000000
...:@0.205080:0.418229:0.214368:0.418229:0.214368:0.401840:0.205080:0.401840:0.000000:0.000000:0.000000
 entonces::@0.313287:0.419487:0.388638:0.419487:0.388638:0.403098:0.313287:0.403098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.122488:0.443206:0.141229:0.443206:0.141229:0.426070:0.122488:0.426070:0.000000:0.000000:0.000000
α:@0.156335:0.443888:0.167963:0.443888:0.172528:0.428315:0.160900:0.428315:0.000000
>:@0.173252:0.443888:0.183369:0.443888:0.183369:0.428315:0.173252:0.428315:0.000000
0:  los vectores :@0.185912:0.443210:0.304874:0.443210:0.304874:0.426821:0.185912:0.426821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.321076:0.443200:0.324282:0.443200:0.324282:0.426811:0.321076:0.426811:0.000000
,:@0.336260:0.443200:0.339466:0.443200:0.339466:0.426811:0.336260:0.426811:0.000000
α:@0.338815:0.443878:0.350443:0.443878:0.355008:0.428305:0.343380:0.428305:0.000000
:@0.312334:0.434878:0.278004:0.434878:0.278004:0.418129:0.312334:0.418129:0.000000
:@0.354220:0.434878:0.319890:0.434878:0.319890:0.418129:0.354220:0.418129:0.000000
uy u:@0.310455:0.443204:0.361665:0.443204:0.361665:0.426842:0.310455:0.426842:0.000000:0.000000:0.000000:0.000000
 tienen la misma :@0.366465:0.443210:0.500175:0.443210:0.500175:0.426821:0.366465:0.426821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dirección y sentido.:@0.155708:0.459806:0.297838:0.459806:0.297838:0.443417:0.155708:0.443417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.122464:0.483525:0.141205:0.483525:0.141205:0.466390:0.122464:0.466390:0.000000:0.000000:0.000000
α:@0.156335:0.484208:0.167963:0.484208:0.172528:0.468635:0.160900:0.468635:0.000000
<:@0.173252:0.484208:0.183369:0.484208:0.183369:0.468635:0.173252:0.468635:0.000000
0: los vectores :@0.185912:0.483530:0.305171:0.483532:0.305171:0.467143:0.185912:0.467141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.323459:0.483405:0.326666:0.483405:0.326666:0.467016:0.323459:0.467016:0.000000
,:@0.338644:0.483405:0.341850:0.483405:0.341850:0.467016:0.338644:0.467016:0.000000
α:@0.341199:0.484082:0.352827:0.484082:0.357392:0.468509:0.345764:0.468509:0.000000
:@0.314718:0.475082:0.280387:0.475082:0.280387:0.458334:0.314718:0.458334:0.000000
:@0.356604:0.475082:0.322273:0.475082:0.322273:0.458334:0.356604:0.458334:0.000000
uy u:@0.312838:0.483408:0.364049:0.483408:0.364049:0.467047:0.312838:0.467047:0.000000:0.000000:0.000000:0.000000
 tienen  sentidos :@0.368848:0.483532:0.500191:0.483532:0.500191:0.467143:0.368848:0.467143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuestos.:@0.155714:0.500128:0.226548:0.500128:0.226548:0.483739:0.155714:0.483739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.122471:0.526364:0.141212:0.526364:0.141212:0.509228:0.122471:0.509228:0.000000:0.000000:0.000000
α:@0.180887:0.525787:0.192515:0.525787:0.197080:0.510214:0.185452:0.510214:0.000000
<<:@0.170215:0.525787:0.207918:0.525787:0.207918:0.510214:0.170215:0.510214:0.000000:0.000000
0:@0.158329:0.525109:0.167322:0.525109:0.167322:0.508720:0.158329:0.508720:0.000000
1; el vector :@0.209319:0.525109:0.292899:0.526367:0.292899:0.509978:0.209319:0.508720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.306650:0.515214:0.314205:0.515214:0.314205:0.498466:0.306650:0.498466:0.000000
α:@0.291512:0.527044:0.303139:0.527044:0.307704:0.511471:0.296077:0.511471:0.000000
u:@0.305707:0.526367:0.315031:0.526367:0.315031:0.510005:0.305707:0.510005:0.000000
 es más pequeño que el :@0.315010:0.526367:0.500198:0.526367:0.500198:0.509978:0.315010:0.509978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector  .:@0.155721:0.545480:0.219709:0.545478:0.219709:0.529089:0.155721:0.529091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.206920:0.534325:0.214475:0.534325:0.214475:0.517577:0.206920:0.517577:0.000000
u:@0.205980:0.545472:0.215304:0.545472:0.215304:0.529111:0.205980:0.529111:0.000000
El producto escalar se denota::@0.509557:0.412250:0.728789:0.412250:0.728789:0.395861:0.509557:0.395861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.625117:0.428601:0.649957:0.428601:0.649957:0.411853:0.625117:0.411853:0.000000:0.000000
:@0.672383:0.428601:0.701094:0.428601:0.701094:0.411853:0.672383:0.411853:0.000000:0.000000
θ:@0.738084:0.440430:0.747684:0.440430:0.752249:0.424857:0.742649:0.424857:0.000000
():@0.734007:0.442884:0.757263:0.442884:0.757263:0.422951:0.734007:0.422951:0.000000:0.000000
⋅=:@0.635483:0.440430:0.663456:0.440430:0.663456:0.424857:0.635483:0.424857:0.000000:0.000000
uv:@0.624168:0.439752:0.649193:0.439752:0.649193:0.423391:0.624168:0.423391:0.000000:0.000000
uv:@0.671435:0.439752:0.700330:0.439752:0.700330:0.423391:0.671435:0.423391:0.000000:0.000000
cos:@0.708346:0.439752:0.732855:0.439752:0.732855:0.423363:0.708346:0.423363:0.000000:0.000000:0.000000
Siendo :@0.509530:0.474798:0.564610:0.474798:0.564610:0.458409:0.509530:0.458409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.605891:0.474793:0.618625:0.474793:0.618625:0.458404:0.605891:0.458404:0.000000:0.000000
.:@0.619546:0.474793:0.622753:0.474793:0.622753:0.458404:0.619546:0.458404:0.000000
θ:@0.567563:0.475471:0.577163:0.475471:0.581728:0.459898:0.572128:0.459898:0.000000
π:@0.622108:0.475471:0.632225:0.475471:0.636790:0.459898:0.626673:0.459898:0.000000
[:@0.599452:0.477842:0.605588:0.477842:0.605588:0.458221:0.599452:0.458221:0.000000
]:@0.636307:0.477842:0.642444:0.477842:0.642444:0.458221:0.636307:0.458221:0.000000
∈:@0.583328:0.475471:0.596467:0.475471:0.596467:0.459898:0.583328:0.459898:0.000000
 el ángulo que forman ambos :@0.642167:0.474793:0.876622:0.474793:0.876622:0.458404:0.642167:0.458404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectores.:@0.509562:0.491390:0.574556:0.491390:0.574556:0.475001:0.509562:0.475001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vectores  ,  son ortogonales si::@0.509562:0.518884:0.775863:0.518887:0.775863:0.502498:0.509562:0.502495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.607790:0.506476:0.629368:0.506476:0.629368:0.489728:0.607790:0.489728:0.000000:0.000000
uv:@0.606846:0.517628:0.628609:0.517628:0.628609:0.501267:0.606846:0.501267:0.000000:0.000000
:@0.641031:0.533973:0.621424:0.533973:0.621424:0.517225:0.641031:0.517225:0.000000
:@0.668194:0.533973:0.648587:0.533973:0.648587:0.517225:0.668194:0.517225:0.000000
:@0.691339:0.533973:0.716179:0.533973:0.716179:0.517225:0.691339:0.517225:0.000000:0.000000
⊥:@0.652706:0.545802:0.664831:0.545802:0.664831:0.530229:0.652706:0.530229:0.000000
⋅ =:@0.701705:0.545802:0.729678:0.545802:0.729678:0.530229:0.701705:0.530229:0.000000:0.000000:0.000000
uv uv:@0.640102:0.545124:0.715434:0.545124:0.715434:0.528763:0.640102:0.528763:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.676791:0.545124:0.679997:0.545124:0.679997:0.528735:0.676791:0.528735:0.000000
...:@0.680919:0.545124:0.690206:0.545124:0.690206:0.528735:0.680919:0.528735:0.000000:0.000000:0.000000
0:@0.732221:0.545124:0.741214:0.545124:0.741214:0.528735:0.732221:0.528735:0.000000
3; 2:@0.467195:0.698221:0.495150:0.698221:0.495150:0.681832:0.467195:0.681832:0.000000:0.000000:0.000000:0.000000
..:@0.480076:0.698221:0.486323:0.698221:0.486323:0.681832:0.480076:0.681832:0.000000:0.000000
6;:@0.520230:0.698221:0.532963:0.698221:0.532963:0.681832:0.520230:0.681832:0.000000:0.000000
..:@0.533885:0.698221:0.540132:0.698221:0.540132:0.681832:0.533885:0.681832:0.000000:0.000000
3; 3:@0.576508:0.698221:0.604447:0.698221:0.604447:0.681832:0.576508:0.681832:0.000000:0.000000:0.000000:0.000000
..:@0.589389:0.698221:0.595636:0.698221:0.595636:0.681832:0.589389:0.681832:0.000000:0.000000
9:@0.627961:0.698221:0.636954:0.698221:0.636954:0.681832:0.627961:0.681832:0.000000
=:@0.454525:0.698898:0.411976:0.698898:0.411976:0.683325:0.454525:0.683325:0.000000
=:@0.507191:0.698898:0.464642:0.698898:0.464642:0.683325:0.507191:0.683325:0.000000
=:@0.563835:0.698898:0.522483:0.698898:0.522483:0.683325:0.563835:0.683325:0.000000
=:@0.615303:0.698898:0.573951:0.698898:0.573951:0.683325:0.615303:0.683325:0.000000
u:@0.436831:0.698221:0.446156:0.698221:0.446156:0.681859:0.436831:0.681859:0.000000
u:@0.494934:0.698221:0.504258:0.698221:0.504258:0.681859:0.494934:0.681859:0.000000
v:@0.546508:0.698221:0.554247:0.698221:0.554247:0.681859:0.546508:0.681859:0.000000
v:@0.603412:0.698221:0.611152:0.698221:0.611152:0.681859:0.603412:0.681859:0.000000
Por la ley de los cosenos y de acuerdo con el gráfico tenemos::@0.428768:0.729489:0.879921:0.729489:0.879921:0.713100:0.428768:0.713100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.624143:0.758035:0.630280:0.758035:0.630280:0.738102:0.624143:0.738102:0.000000
):@0.663413:0.758035:0.669549:0.758035:0.669549:0.738102:0.663413:0.738102:0.000000
=:@0.455101:0.755580:0.465218:0.755580:0.465218:0.740007:0.455101:0.740007:0.000000
+:@0.486355:0.755580:0.496472:0.755580:0.496472:0.740007:0.486355:0.740007:0.000000
×× ×:@0.539813:0.755580:0.596463:0.755580:0.596463:0.740007:0.539813:0.740007:0.000000:0.000000:0.000000:0.000000
°:@0.655819:0.755580:0.663190:0.755580:0.663190:0.740007:0.655819:0.740007:0.000000
=:@0.458713:0.780609:0.468830:0.780609:0.468830:0.765036:0.458713:0.765036:0.000000
=:@0.547295:0.780609:0.557412:0.780609:0.557412:0.765036:0.547295:0.765036:0.000000
6:@0.468130:0.754899:0.477123:0.754899:0.477123:0.738510:0.468130:0.738510:0.000000
9 –269cos 120:@0.498499:0.754899:0.655981:0.754899:0.655981:0.738510:0.498499:0.738510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
171;:@0.482725:0.779931:0.511435:0.779931:0.511435:0.763543:0.482725:0.763543:0.000000:0.000000:0.000000:0.000000
..:@0.512356:0.779931:0.518603:0.779931:0.518603:0.763543:0.512356:0.763543:0.000000:0.000000
13,077:@0.558794:0.779931:0.607461:0.779931:0.607461:0.763543:0.558794:0.763543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.445417:0.747241:0.450629:0.747241:0.450629:0.737743:0.445417:0.737743:0.000000
2:@0.477616:0.747241:0.482828:0.747241:0.482828:0.737743:0.477616:0.737743:0.000000
2:@0.507978:0.747241:0.513190:0.747241:0.513190:0.737743:0.507978:0.737743:0.000000
w:@0.430968:0.754902:0.443701:0.754902:0.443701:0.738541:0.430968:0.738541:0.000000
w:@0.436404:0.779935:0.449138:0.779935:0.449138:0.763574:0.436404:0.763574:0.000000
w:@0.524986:0.779935:0.537719:0.779935:0.537719:0.763574:0.524986:0.763574:0.000000
Para determinar el ángulo empleamos la ley de los senos::@0.428757:0.812146:0.847814:0.812146:0.847814:0.795757:0.428757:0.795757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.543724:0.855522:0.553325:0.855522:0.557890:0.839949:0.548289:0.839949:0.000000
θ:@0.457611:0.883058:0.467212:0.883058:0.471777:0.867485:0.462176:0.867485:0.000000
θ:@0.429022:0.913004:0.438623:0.913004:0.443188:0.897431:0.433587:0.897431:0.000000
°:@0.486670:0.855522:0.494041:0.855522:0.494041:0.839949:0.486670:0.839949:0.000000
=:@0.503365:0.844596:0.513482:0.844596:0.513482:0.829023:0.503365:0.829023:0.000000
=:@0.478294:0.883064:0.488410:0.883064:0.488410:0.867491:0.478294:0.867491:0.000000
=:@0.565254:0.883064:0.575370:0.883064:0.575370:0.867491:0.565254:0.867491:0.000000
=:@0.444422:0.913004:0.454539:0.913004:0.454539:0.897431:0.444422:0.897431:0.000000
°:@0.497567:0.913004:0.504938:0.913004:0.504938:0.897431:0.497567:0.897431:0.000000
(120 ):@0.455736:0.854848:0.499520:0.854848:0.499520:0.838459:0.455736:0.838459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.535042:0.835395:0.544035:0.835395:0.544035:0.819006:0.535042:0.819006:0.000000
():@0.540381:0.854844:0.562015:0.854844:0.562015:0.838455:0.540381:0.838455:0.000000:0.000000
():@0.454269:0.882380:0.475903:0.882380:0.475903:0.865991:0.454269:0.865991:0.000000:0.000000
9:@0.492433:0.873861:0.501425:0.873861:0.501425:0.857472:0.492433:0.857472:0.000000
(120):@0.524478:0.873861:0.561389:0.873861:0.561389:0.857472:0.524478:0.857472:0.000000:0.000000:0.000000:0.000000:0.000000
13,077:@0.501738:0.893306:0.550406:0.893306:0.550406:0.876917:0.501738:0.876917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,596:@0.577918:0.882380:0.618570:0.882380:0.618570:0.865991:0.577918:0.865991:0.000000:0.000000:0.000000:0.000000:0.000000
36,59:@0.457088:0.912323:0.497740:0.912323:0.497740:0.895934:0.457088:0.895934:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.458713:0.835395:0.471447:0.835395:0.471447:0.819034:0.458713:0.819034:0.000000
sen:@0.433220:0.854844:0.456494:0.854844:0.456494:0.838483:0.433220:0.838483:0.000000:0.000000:0.000000
sen:@0.517876:0.854844:0.541150:0.854844:0.541150:0.838483:0.517876:0.838483:0.000000:0.000000:0.000000
sen:@0.431745:0.882380:0.455019:0.882380:0.455019:0.866019:0.431745:0.866019:0.000000:0.000000:0.000000
sen:@0.501955:0.873861:0.525229:0.873861:0.525229:0.857499:0.501955:0.857499:0.000000:0.000000:0.000000
w = 2u –3v:@0.279925:0.836460:0.331921:0.836460:0.331921:0.826488:0.279925:0.826488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3v:@0.216261:0.840227:0.233781:0.840227:0.233781:0.830273:0.216261:0.830273:0.000000:0.000000:0.000000
3v:@0.147578:0.744673:0.159234:0.744673:0.159234:0.734719:0.147578:0.734719:0.000000:0.000000
v:@0.186112:0.786170:0.191412:0.786170:0.191412:0.776199:0.186112:0.776199:0.000000
2u:@0.279925:0.796230:0.291875:0.796230:0.291875:0.786258:0.279925:0.786258:0.000000:0.000000
ά = 120º:@0.211242:0.795315:0.251875:0.795315:0.251875:0.785360:0.211242:0.785360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β = 36,59º:@0.216273:0.807530:0.265454:0.807530:0.265454:0.797576:0.216273:0.797576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000