The 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) Let w = (1,7,1,–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 10E
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The 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)
Let w =
(1,7,1,–9). Find the value of c if w = av₁ + bv2 + CV3 + dv4.
Transcribed Image Text:The 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) Let w = (1,7,1,–9). Find the value of c if w = av₁ + bv2 + CV3 + dv4.
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