. Let u₁ = (1, -2, -1), U₂ = (2, 2,-2), and v = = (0, 0, 1). v is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector us in R³ that is orthogonal to u₁ and ₂.
. Let u₁ = (1, -2, -1), U₂ = (2, 2,-2), and v = = (0, 0, 1). v is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector us in R³ that is orthogonal to u₁ and ₂.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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37
![37. Let u₁ = (1, -2, -1), u₂ = (2,2,-2), and v= (0, 0, 1). v is not in the subspace W
spanned by u₁ and u₂. Use this fact to construct a nonzero vector us in R³ that is
orthogonal to u₁ and u₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4a621b1-5b2d-4a09-a5c6-e5ead26064e3%2F44979754-4607-4af3-95c5-25f0c38267d5%2F07hl9le_processed.jpeg&w=3840&q=75)
Transcribed Image Text:37. Let u₁ = (1, -2, -1), u₂ = (2,2,-2), and v= (0, 0, 1). v is not in the subspace W
spanned by u₁ and u₂. Use this fact to construct a nonzero vector us in R³ that is
orthogonal to u₁ and u₂.
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