Let u₁5 2 4₂ -1 0 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. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and ₂. A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v=
Let u₁5 2 4₂ -1 0 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. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and ₂. A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v=
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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Question
![2
11
or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero
vector v in R³ that is orthogonal to u₁ and u₂.
Let u₁
4₂
- 1
0
, and u3 = 0. Note that u₁ and u₂ are orthogonal but that u3 is not orthogonal to u₁
A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F838915bf-b1e6-4833-a91d-7f068f9e1cf7%2F369d2cd9-d0d3-4cde-8e9d-009d5af7fc13%2Ft1q2qu_processed.png&w=3840&q=75)
Transcribed Image Text:2
11
or u₂. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero
vector v in R³ that is orthogonal to u₁ and u₂.
Let u₁
4₂
- 1
0
, and u3 = 0. Note that u₁ and u₂ are orthogonal but that u3 is not orthogonal to u₁
A nonzero vector in R³ that is orthogonal to u₁ and u₂ is v=
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