Find V parallel and V perpendicular using the projection of V onto U. 2.133{z5.90STS20.दानaf356NUS 98hن)(2.)54www]A-A³10tugto un't srimrotsb (4100intomams it sholustos (5AO2.S.2:202ra21.ruon2P0.211. 30.01.=AA Gad1)AA(A-2 Amyot232.за од при25MNO STAIg nLEVIEN=-ا بالاسفر دارهIsonoredd

Answered: 13 IN Fir 3 72 6 ST . ~ [line] 2 3 PR

Math

Advanced Math

13 IN Fir 3 72 6 ST . ~ [line] 2 3 PR

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

Find V parallel and V perpendicular using the projection of V onto U.

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Expert Solution

Step 1

We have

$\vec{u} = [\begin{matrix} - 3 \\ 6 \\ 1 \end{matrix}] \vec{v} = [\begin{matrix} 2 \\ 5 \\ 3 \end{matrix}]$

We have to find the orthogonal projection.

Remember :

$v^{| |} = P r o j_{u} v v^{| |} = \frac{u . v}{u . u} u$

and
$v^{⊥} = v - v^{| |}$

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