Question

Oiii pessoal, em matemática poderiam me ajudar? >< S2

Dados os vetores U= (1;-4) V= (-3;2) W= (5; -6)
Calcule:

A) ║U║
B) ║U+V║
C) ║W-3U║

Answer 1

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$\LARGE\green{\boxed{\rm~~~\red{ A)}~\gray{||U||}~\pink{=}~\blue{ \sqrt{17} }~~~}}$

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$\LARGE\green{\boxed{\rm~~~\red{ B)}~\gray{||U + V||}~\pink{=}~\blue{ 2\sqrt{10} }~~~}}$

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$\LARGE\green{\boxed{\rm~~~\red{ C)}~\gray{||W - 3U||}~\pink{=}~\blue{ 2\sqrt{10} }~~~}}$

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$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

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☺lá novamente, Thomas. Vamos a mais ume exercício❗ Acompanhe a resolução abaixo. ✌

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☔ O módulo (ou norma) de um Vetor é o comprimento deste Vetor e pode ser encontrado pela fórmula da distância entre dois pontos:

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$\Large\red{\boxed{\pink{\boxed{\begin{array}{rcl}&&\\&\orange{\sf | \overrightarrow{\sf U} | = \sqrt{x^2 + y^2}}&\\&&\\\end{array}}}}}$

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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\LARGE\gray{\boxed{\sf\blue{~~||U||~~}}}$

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$\LARGE\blue{\sf = \sqrt{1^2 + (-4)^2} }$

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$\LARGE\blue{\sf = \sqrt{1 + 16} }$

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$\LARGE\blue{\sf = \sqrt{17} }$

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$\LARGE\green{\boxed{\rm~~~\red{ A)}~\gray{||U||}~\pink{=}~\blue{ \sqrt{17} }~~~}}$ ✅

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Ⓑ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\LARGE\gray{\boxed{\sf\blue{~~||U + V||~~}}}$

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$\LARGE\blue{\sf = \sqrt{(1-3)^2 + (-4-2)^2} }$

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$\LARGE\blue{\sf = \sqrt{(-2)^2 + (-6)^2} }$

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$\LARGE\blue{\sf = \sqrt{4 + 36} }$

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$\LARGE\blue{\sf = \sqrt{40} = 2\sqrt{10}}$

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$\LARGE\green{\boxed{\rm~~~\red{ B)}~\gray{||U + V||}~\pink{=}~\blue{ 2\sqrt{10} }~~~}}$ ✅

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Ⓒ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\LARGE\gray{\boxed{\sf\blue{~~||W + 3U||~~}}}$

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$\LARGE\blue{\sf = \sqrt{(5-3)^2 + (-6+12)^2} }$

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$\LARGE\blue{\sf = \sqrt{(2)^2 + (6)^2} }$

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$\LARGE\blue{\sf = \sqrt{4 + 36} }$

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$\LARGE\blue{\sf = \sqrt{40} = 2\sqrt{10}}$

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$\LARGE\green{\boxed{\rm~~~\red{ C)}~\gray{||W - 3U||}~\pink{=}~\blue{ 2\sqrt{10} }~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\Large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$