{"id":3671,"date":"2019-07-03T07:35:05","date_gmt":"2019-07-03T12:35:05","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=3671"},"modified":"2026-04-05T05:36:20","modified_gmt":"2026-04-05T10:36:20","slug":"1eva2019ti_t3-vector-perpendicular-a-plano","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2019ti_t3-vector-perpendicular-a-plano\/","title":{"rendered":"1Eva2019TI_T3 Vector perpendicular a plano"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n I T\u00e9rmino 2019-2020. 2\/Julio\/2019. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. ( 30 puntos) Considere los siguientes vectores:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">V<sub>1<\/sub> = (2,-3,a)<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>V<sub>2<\/sub>=(b,1,-4)<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>V<sub>3<\/sub>= (3,c,2)<\/p>\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"281\" height=\"289\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2019\/07\/VectoresPerpendiculares01.png\" alt=\"Vectores Perpendiculares 01\" class=\"wp-image-14174\" \/><\/figure>\n\n\n\n<p>Se sabe que V1 es perpendicular a V<sub>2&nbsp;<\/sub> y V<sub>3<\/sub>.<\/p>\n\n\n\n<figure class=\"wp-block-image alignleft size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"498\" height=\"276\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2019\/07\/barcoMastilMarAgitado01.gif\" alt=\"barco m\u00e1stil mar agitado\" class=\"wp-image-14177\" \/><\/figure>\n\n\n\n<p>Tambi\u00e9n se sabe que V<sub>2<\/sub>.V<sub>3<\/sub>=2.<\/p>\n\n\n\n<p>Use un m\u00e9todo para encontrar el valor de las inc\u00f3gnitas a,b,c<\/p>\n\n\n\n<p>a) Plantee el sistema<\/p>\n\n\n\n<p>b) Resuelva con el m\u00e9todo de eliminaci\u00f3n de Gauss<\/p>\n\n\n\n<p>c) Vuelva a resolver con el m\u00e9todo de Jacobi con x<sup>(0)<\/sup> = [0,0,0], realice tres iteraciones<\/p>\n\n\n\n<p>d) Encuentre el residuo, cota del error absoluto y relativo<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: literal a (5 puntos), literal b, ordenar las ecuaciones(5 puntos), m\u00e9todo Gauss (10 puntos);&nbsp; literal c, aplicarJacobi (5 puntos), literal d (5 puntos)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p><strong>Notas<\/strong>:<br>- Todos los temas deben mostrar evidencia del desarrollo del m\u00e9todo num\u00e9rico planteado.<br>- En geometr\u00eda eucl\u00eddea se tiene, dos vectores v<sub>1<\/sub> y v<sub>2<\/sub> que son ortogonales forman un \u00e1ngulo recto, por lo tanto v<sub>1<\/sub> \u22c5 v<sub>2<\/sub> = 0. <a href=\"https:\/\/es.wikipedia.org\/wiki\/Ortogonalidad_(matem%C3%A1ticas)\">https:\/\/es.wikipedia.org\/wiki\/Ortogonalidad_(matem%C3%A1ticas)<\/a><\/p>\n\n\n\n<p><em><strong>Referencia<\/strong><\/em>: Chapra 5ed. problema 10.18 p304, pdf 328.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2019-2020. 2\/Julio\/2019. MATG1013 Tema 2. ( 30 puntos) Considere los siguientes vectores: V1 = (2,-3,a) V2=(b,1,-4) V3= (3,c,2) Se sabe que V1 es perpendicular a V2&nbsp; y V3. Tambi\u00e9n se sabe que V2.V3=2. Use un m\u00e9todo para encontrar el valor de las inc\u00f3gnitas a,b,c a) Plantee el sistema b) Resuelva con [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[61],"class_list":["post-3671","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-matriciales-directos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3671","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=3671"}],"version-history":[{"count":6,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3671\/revisions"}],"predecessor-version":[{"id":21795,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/3671\/revisions\/21795"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=3671"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=3671"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=3671"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}