{"id":66518,"date":"2016-07-19T13:50:57","date_gmt":"2016-07-19T13:50:57","guid":{"rendered":"http:\/\/cms.portalsaofrancisco.com.br\/?p=66518"},"modified":"2017-01-24T09:58:34","modified_gmt":"2017-01-24T11:58:34","slug":"vetores","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/ciencias-da-natureza\/fisica\/vetores","title":{"rendered":"Vetores"},"content":{"rendered":"<p><strong>Defini\u00e7\u00e3o<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Vetores<\/strong> s\u00e3o grandezas vetoriais e possuem m\u00f3dulo, dire\u00e7\u00e3o e sentido. Obedecem as regras da \u00e1lgebra vetorial.<\/p>\n<p style=\"text-align: justify;\">\u00c9 importante saber que n\u00e3o s\u00e3o todas as grandezas f\u00edsicas que s\u00e3o vetoriais. Um exemplo \u00e9 a temperatura, pois n\u00e3o indica nenhuma dire\u00e7\u00e3o.<\/p>\n<p style=\"text-align: justify;\">O vetor \u00e9 representado por um segmento de reta, cujo comprimento desse segmento corresponde ao valor(m\u00f3dulo) dessa grandeza f\u00edsica envolvida.<\/p>\n<p style=\"text-align: justify;\">O m\u00f3dulo corresponde ao valor ou tamanho que esse vetor possui. Na figura a seguir, o m\u00f3dulo do vetor \u00e9 de 15 m.<\/p>\n<p class=\"imagem\"><img decoding=\"async\" class=\"aligncenter wp-image-96106 size-full\" title=\"Representa\u00e7\u00e3o de um vetor\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/representacao-de-vetores.png\" alt=\"Representa\u00e7\u00e3o de um vetor\" width=\"330\" height=\"137\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/representacao-de-vetores.png 330w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/representacao-de-vetores-300x125.png 300w\" sizes=\"(max-width: 330px) 100vw, 330px\" \/><strong><br \/>\nRepresenta\u00e7\u00e3o de um vetor<\/strong><\/p>\n<p style=\"text-align: justify;\">Os dois vetores acima possuem o mesmo m\u00f3dulo (valor), pois possuem o mesmo comprimento de 15 m.<\/p>\n<h2><strong>Soma de Vetores<\/strong><\/h2>\n<p style=\"text-align: justify;\">Vamos imaginar um carro que se desloca de A para B, e depois, de B para C.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-96108 size-full\" title=\"Soma de Vetores\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/soma-geometrica-de-vetores.png\" alt=\"Soma de Vetores\" width=\"437\" height=\"186\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/soma-geometrica-de-vetores.png 437w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/soma-geometrica-de-vetores-300x128.png 300w\" sizes=\"(max-width: 437px) 100vw, 437px\" \/><\/p>\n<p style=\"text-align: justify;\">O deslocamento total desse carro pode ser representado pelo vetor C, e independe da trajet\u00f3ria percorrida por esse autom\u00f3vel.<\/p>\n<p style=\"text-align: justify;\">Chamamos o vetor AC de <strong>vetor soma. <\/strong>Podemos reescrever esse diagrama vetorial da seguinte maneira:<br \/>\n<img decoding=\"async\" class=\"aligncenter wp-image-96109 size-full\" title=\"Soma de Vetores\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/soma-geometrica-de-vetores-2.png\" alt=\"Soma de Vetores\" width=\"397\" height=\"166\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/soma-geometrica-de-vetores-2.png 397w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/soma-geometrica-de-vetores-2-300x125.png 300w\" sizes=\"(max-width: 397px) 100vw, 397px\" \/><\/p>\n<p><strong>A f\u00f3rmula utilizada para\u00a0soma vetorial:<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96107 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/s.png\" alt=\"s\" width=\"25\" height=\"35\" \/> = <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96099 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/a.png\" alt=\"a\" width=\"23\" height=\"39\" \/>+<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96101 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/b.png\" alt=\"b\" width=\"23\" height=\"37\" \/><\/p>\n<p style=\"text-align: justify;\">Nesse caso o operador &#8220;+&#8221; tem um significado diferente, pois tamb\u00e9m envolve a orienta\u00e7\u00e3o e o m\u00f3dulo.<\/p>\n<p style=\"text-align: justify;\"><strong>Na soma vetorial temos duas propriedades:<\/strong> Comutativa e Associativa.<\/p>\n<p style=\"padding-left: 30px;\"><strong>Propriedade Comutativa:<\/strong> <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96099 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/a.png\" alt=\"a\" width=\"23\" height=\"39\" \/>+<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96101 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/b.png\" alt=\"b\" width=\"23\" height=\"37\" \/>\u00a0= <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96101 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/b.png\" alt=\"b\" width=\"23\" height=\"37\" \/>\u00a0+ <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96099 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/a.png\" alt=\"a\" width=\"23\" height=\"39\" \/><\/p>\n<p style=\"padding-left: 30px;\"><strong>Propriedade Associativa: <\/strong>(<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96099 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/a.png\" alt=\"a\" width=\"23\" height=\"39\" \/>+<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96101 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/b.png\" alt=\"b\" width=\"23\" height=\"37\" \/>) + <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96103 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/c.png\" alt=\"c\" width=\"21\" height=\"31\" \/>\u00a0= <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96099 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/a.png\" alt=\"a\" width=\"23\" height=\"39\" \/>\u00a0+ (<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96101 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/b.png\" alt=\"b\" width=\"23\" height=\"37\" \/>+<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96103 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/c.png\" alt=\"c\" width=\"21\" height=\"31\" \/>)<\/p>\n<p style=\"text-align: justify;\">A ordem em que somamos os vetores n\u00e3o altera o resultado final.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-96105 size-full\" title=\"Vetores de Sentidos Opostos\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/exemplo-1.png\" alt=\"Vetores de Sentidos Opostos\" width=\"202\" height=\"83\" \/><strong><br \/>\nOs vetores acima possuem o mesmo m\u00f3dulo (valor), mas sentidos opostos.<\/strong><\/p>\n<h2><strong>Subtra\u00e7\u00e3o de Vetores<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-96098 size-full\" title=\"Subtra\u00e7\u00e3o de Vetores\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/subtracao-de-vetores.png\" alt=\"Subtra\u00e7\u00e3o de Vetores\" width=\"211\" height=\"204\" \/><\/p>\n<p><strong>A f\u00f3rmula utilizada para subtra\u00e7\u00e3o de vetores:<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96104 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/d-vetor.png\" alt=\"d-vetor\" width=\"26\" height=\"34\" \/> = <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96099 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/a.png\" alt=\"a\" width=\"23\" height=\"39\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-96102 alignnone\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2016\/07\/b-vetor.png\" alt=\"b-vetor\" width=\"30\" height=\"35\" \/><\/p>\n<p style=\"text-align: justify;\">Apesar de termos usado o vetor deslocamento como exemplo, as propriedades de soma e subtra\u00e7\u00e3o de vetores de aplicam a todos os tipos de vetores, desde que estejam operando com vetores do mesmo tipo, como somar acelera\u00e7\u00f5es ou subtrair velocidades. N\u00e3o faz sentido somar ou subtrair acelera\u00e7\u00e3o com deslocamento.<\/p>\n<p>Por Augusto Abreu<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Defini\u00e7\u00e3o Vetores s\u00e3o grandezas vetoriais e possuem m\u00f3dulo, dire\u00e7\u00e3o e sentido. Obedecem as regras da \u00e1lgebra vetorial. \u00c9 importante saber que n\u00e3o s\u00e3o todas as grandezas f\u00edsicas que s\u00e3o vetoriais. Um exemplo \u00e9 a temperatura, pois n\u00e3o indica nenhuma dire\u00e7\u00e3o. O vetor \u00e9 representado por um segmento de reta, cujo comprimento desse segmento corresponde ao [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":96110,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[320],"tags":[],"class_list":["post-66518","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-fisica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Vetores, F\u00edsica, Propriedade, F\u00f3rmula Vetores<\/title>\n<meta name=\"description\" content=\"Vetores s\u00e3o grandezas vetoriais e possuem m\u00f3dulo, dire\u00e7\u00e3o e sentido. 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