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From Applied Science
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- 01:03, 28 January 2024 Wikiadmin talk contribs deleted page File:Triple product formula.svg (content was: "", and the only contributor was "0kelvin" (talk))
- 01:00, 28 January 2024 Wikiadmin talk contribs created page File:Triple product formula.svg
- 01:00, 28 January 2024 Wikiadmin talk contribs uploaded File:Triple product formula.svg
- 00:37, 28 January 2024 Wikiadmin talk contribs created page File:Cross product.svg
- 00:37, 28 January 2024 Wikiadmin talk contribs uploaded File:Cross product.svg
- 00:14, 28 January 2024 Wikiadmin talk contribs created page File:Space orientation.svg
- 00:14, 28 January 2024 Wikiadmin talk contribs uploaded File:Space orientation.svg
- 00:11, 28 January 2024 Wikiadmin talk contribs uploaded a new version of File:Right hand cross product.svg
- 23:14, 27 January 2024 Wikiadmin talk contribs uploaded a new version of File:Right hand cross product.svg
- 23:11, 27 January 2024 Wikiadmin talk contribs created page File:Right hand cross product.svg
- 23:11, 27 January 2024 Wikiadmin talk contribs uploaded File:Right hand cross product.svg
- 23:01, 27 January 2024 Wikiadmin talk contribs created page Produto vetorial (Created page with "<Center> '''Orientação do espaço'''</center> O produto vetorial é uma operação que associa a dois vetores no espaço um vetor. Esta definido apenas para espaços de três dimensões ''(existe um caso para sete dimensões, mas ele não será tratado aqui)''. Assim como o produto escalar, ele também é uma função e pode ser entendido como uma transformação linear, embora a formalização das transformações lineares seja feita apenas em álgebra linear. Como o...") Tag: wikieditor
- 17:36, 26 January 2024 Wikiadmin talk contribs created page Exercícios de projeção ortogonal (Created page with "* Considere uma base ortonormal <math>\{\overrightarrow{e}_x,\overrightarrow{e}_y,\overrightarrow{e}_z\}</math>. Calcule a projeção ortogonal de <math>\overrightarrow{v} = (3,-6,0)</math> sobre <math>\overrightarrow{u} = (2,-2,1)</math>. <math>\overrightarrow{w} = \frac{\overrightarrow{u}}{||\overrightarrow{u}||} \implies \overrightarrow{w} = (-\frac{2}{3},-\frac{2}{3},\frac{1}{3})</math> <math>proj_{\overrightarrow{w}}\overrightarrow{v} = (\overrightarrow{v} \cdot \...") Tag: wikieditor
- 17:23, 26 January 2024 Wikiadmin talk contribs created page Projeção ortogonal (Created page with " Uma pergunta natural: se dois vetores não nulos determinam um ângulo e o produto escalar associa a dois vetores no espaço um número, qual a interpretação geométrica deste número? Observe a seguinte figura: ''(a teoria a seguir esta visualizada em duas dimensões, mas o mesmo raciocínio pode ser extendido para n dimensões. A propriedade dos vetores serem ortogonais entre si tambem é válida em dimensões maiores do que 3)'' <center>file:vector_projection.s...") Tag: wikieditor
- 17:17, 26 January 2024 Wikiadmin talk contribs created page File:Vector projection 2.svg
- 17:17, 26 January 2024 Wikiadmin talk contribs uploaded File:Vector projection 2.svg
- 17:17, 26 January 2024 Wikiadmin talk contribs created page File:Vector projection.svg
- 17:17, 26 January 2024 Wikiadmin talk contribs uploaded File:Vector projection.svg
- 15:41, 26 January 2024 Wikiadmin talk contribs created page Exercícios de produto escalar (Created page with "* Determine <math>\overrightarrow{u}</math> ortogonal a <math>(-3,0,1)</math> tal que <math>\overrightarrow{u} \cdot (1,4,5) = 24</math> e <math>\overrightarrow{u} \cdot (-1,1,0) = 1</math>. Seja <math>\overrightarrow{u} = (x,y,z)</math>, temos o seguinte sistema linear ''(o vetor procurado precisa satisfazer às três condições impostas no enunciado simultaneamente)'': <math> \begin{cases} -3x & + & 0y & + & z & = & 0 \\ x & + & 4y & + & 5z & = & 24 \\ -x & + & y...") Tag: wikieditor
- 15:14, 26 January 2024 Wikiadmin talk contribs created page Produtos escalar (Created page with "Fixada uma base ortonormal <math>(\overrightarrow{e}_x, \overrightarrow{e}_y, \overrightarrow{e}_z)</math> e dados dois vetores nesta base, <math>\overrightarrow{u} = (x_1, y_1, z_1)</math> e <math>\overrightarrow{v} = (x_2, y_2, z_2)</math>, o produto escalar é: <Center><math> \overrightarrow{u} \cdot \overrightarrow{v} = x_1x_2 + y_1y_2 + z_1z_2 </math></center> A fórmula vem da multiplicação de matrizes, onde um vetor é uma matriz linha e o outro é uma matriz...") Tag: wikieditor
- 02:44, 26 January 2024 Wikiadmin talk contribs created page Exercícios de álgebra vetorial (Created page with " Os exemplos a seguir são todos decorrência das propriedades dos números reais. Independem das coordenadas dos vetores. Nos exemplos onde há a norma de um vetor a demonstração não depende de saber calcular a norma diretamente, utiliza-se as propriedades do módulo de um número real. A validade das operações provadas aqui permite que a álgebra vetorial funcione. '''1.''' Prove que <math> -(-\overrightarrow{u}) = \overrightarrow{u} </math>. <math>\begin{align...") Tag: wikieditor
- 02:33, 26 January 2024 Wikiadmin talk contribs created page Propriedades algébricas dos vetores (Created page with " Os oito axiomas aqui demonstrados permitem validar as operações algébricas com vetores. Cada um esta demonstrado com números reais, uma vez que os vetores estudados em geometria analítica e álgebra linear introdutória estão definidos para coordenadas reais. A validade de todas mostra que os vetores estudados em geometria analítica fazem parte de um espaço vetorial, embora a definição de um espaço vetorial seja normalmente postergada para o curso de álgebra...") Tag: wikieditor
- 02:07, 26 January 2024 Wikiadmin talk contribs created page File:Geometric applications 6.svg
- 02:07, 26 January 2024 Wikiadmin talk contribs uploaded File:Geometric applications 6.svg
- 01:45, 26 January 2024 Wikiadmin talk contribs created page File:Geometric applications 5.svg
- 01:45, 26 January 2024 Wikiadmin talk contribs uploaded File:Geometric applications 5.svg
- 01:34, 26 January 2024 Wikiadmin talk contribs uploaded a new version of File:Geometric applications 4.svg
- 01:32, 26 January 2024 Wikiadmin talk contribs created page File:Geometric applications 4.svg
- 01:32, 26 January 2024 Wikiadmin talk contribs uploaded File:Geometric applications 4.svg
- 01:17, 26 January 2024 Wikiadmin talk contribs uploaded a new version of File:Geometric applications 3.svg
- 01:15, 26 January 2024 Wikiadmin talk contribs created page File:Geometric applications 3.svg
- 01:15, 26 January 2024 Wikiadmin talk contribs uploaded File:Geometric applications 3.svg
- 00:56, 26 January 2024 Wikiadmin talk contribs created page File:Geometric applications 2.svg
- 00:56, 26 January 2024 Wikiadmin talk contribs uploaded File:Geometric applications 2.svg
- 00:44, 26 January 2024 Wikiadmin talk contribs created page File:Geometric applications 1.svg
- 00:44, 26 January 2024 Wikiadmin talk contribs uploaded File:Geometric applications 1.svg
- 00:11, 26 January 2024 Wikiadmin talk contribs created page Exercícios de vetores com geometria (Created page with "* Prove que <math> \overrightarrow{\text{MN}} = \frac{1}{2}(\overrightarrow{\text{AB}} + \overrightarrow{\text{DC}} ) </math> sabendo que M e N são os pontos médios dos lados não paralelos do trapézio ABCD. <center> file:geometric_applications_1.svg</center> Expressando <math> \overrightarrow{\text{MN}} </math> como combinação linear <math>\begin{align*} \overrightarrow{\text{MN}} = \overrightarrow{\text{MA}} + \overrightarrow{\text{AB}} + \overrightarrow{\...") Tag: wikieditor
- 23:45, 25 January 2024 Wikiadmin talk contribs created page File:Vector addition 3.svg
- 23:45, 25 January 2024 Wikiadmin talk contribs uploaded File:Vector addition 3.svg
- 22:59, 25 January 2024 Wikiadmin talk contribs uploaded a new version of File:Vector addition 1.svg
- 22:57, 25 January 2024 Wikiadmin talk contribs created page File:Vector addition 2.svg
- 22:57, 25 January 2024 Wikiadmin talk contribs uploaded File:Vector addition 2.svg
- 22:32, 25 January 2024 Wikiadmin talk contribs created page File:Vector addition 1.svg
- 22:32, 25 January 2024 Wikiadmin talk contribs uploaded File:Vector addition 1.svg
- 21:07, 25 January 2024 Wikiadmin talk contribs created page Exercícios de vetores (Created page with "* Determine a soma dos vetores indicados na figura: '''a)''' file:vector_addition_1.svg <math>\overrightarrow{MI}</math> e <math>\overrightarrow{FG}</math> são opostos, portanto se anulam. Escolhendo B como origem e F como extremidade, temos que <math>\overrightarrow{BH} + \overrightarrow{HE} + \overrightarrow{EF} = \overrightarrow{BF}</math>. Resta então que <math>\overrightarrow{BF} + \overrightarrow{BG} = \overrightarrow{BL}</math>. Os vetores podem ser desloc...") Tag: wikieditor
- 19:09, 25 January 2024 Wikiadmin talk contribs created page File:Vector addition point.svg
- 19:09, 25 January 2024 Wikiadmin talk contribs uploaded File:Vector addition point.svg
- 17:39, 25 January 2024 Wikiadmin talk contribs uploaded a new version of File:Vector multiplication real number 2.svg
- 17:36, 25 January 2024 Wikiadmin talk contribs created page File:Vector multiplication real number 2.svg
- 17:36, 25 January 2024 Wikiadmin talk contribs uploaded File:Vector multiplication real number 2.svg