2-3 #3: The following vectors form an orthogonal basis for R¹.V₁ = (1,-1,2,-1), v₂ = (-2,2,3, 2)V3 = (1, 2, 0,-1), V4 = (1, 0, 0, 1)Let w = (3,5, 1,-9). Find the value of c if w = av₁ +b√₂ + cv3 + dv4.

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e following vectors form an orthogonal basis for Rª. V₁ = (1,-1, 2, -1), V₂ = (-2,2,3, 2) V3 = (1, 2, 0,-1), V4 = (1, 0, 0, 1) tw= = (1, 5, 1, −9). Find the value of c if w = av₁ + bv₂ + cv3 + dv4.

e following vectors form an orthogonal basis for Rª. V₁ = (1,-1, 2, -1), V₂ = (-2,2,3, 2) V3 = (1, 2, 0,-1), V4 = (1, 0, 0, 1) tw= = (1, 5, 1, −9). Find the value of c if w = av₁ + bv₂ + cv3 + dv4.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 9E

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Question

2-3

#3: The following vectors form an orthogonal basis for R¹.
V₁ = (1,-1,2,-1), v₂ = (-2,2,3, 2)
V3 = (1, 2, 0,-1), V4 = (1, 0, 0, 1)
Let w = (3,5, 1,-9). Find the value of c if w = av₁ +b√₂ + cv3 + dv4.

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