. 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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37
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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