3 0 -6 and u3 = 1 . Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in 0 ------ Let u₁ = 1 6 R³ that is orthogonal to u₁ and u₂. The nonzero vector v = is orthogonal to u₁ and u₂.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 13E
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B-4
1
6
R³ that is orthogonal to u₁ and ₂.
Let u₁
=
u₂ - 6 and u35
0
Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in
The nonzero vector v = is orthogonal to u₁ and u₂.
Transcribed Image Text:B-4 1 6 R³ that is orthogonal to u₁ and ₂. Let u₁ = u₂ - 6 and u35 0 Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in The nonzero vector v = is orthogonal to u₁ and u₂.
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