3 BH -1 U₂ = -3 and u30. Note that u₁ and u₂ are orthogonal but that u3 is not orthogonal to u₁ or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. -3 Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and u₂. Let u₁ = A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v=

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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Question
-2
3
-1
- 3
-1
- 3
Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁
Let u₁ =
u₂
and u3
0
. Note that u₁ and u2 are orthogonal but that u3 is not orthogonal to u₁ or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂.
1
A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v =
and u2.
Transcribed Image Text:-2 3 -1 - 3 -1 - 3 Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ Let u₁ = u₂ and u3 0 . Note that u₁ and u2 are orthogonal but that u3 is not orthogonal to u₁ or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. 1 A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v = and u2.
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