Find the orthogonal projection of v onto the subspace W spanned by the vectors u. (You may assume that the vectors u; are orthogonal.) V = 5 -3 7 5 U1 1 1 0 0 4₂ 1 -1 - 1 1 u3 = 0 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 19E
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Find the orthogonal projection of v onto the subspace W spanned by the vectors u;. (You may assume that the vectors u; are orthogonal.)
V =
8
5
-3
7
U₁ =
1
1
0
0
, 4₂ =
1
, 3 =
0
1
Transcribed Image Text:Find the orthogonal projection of v onto the subspace W spanned by the vectors u;. (You may assume that the vectors u; are orthogonal.) V = 8 5 -3 7 U₁ = 1 1 0 0 , 4₂ = 1 , 3 = 0 1
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