8. Let x and y be vectors in 3-space, and suppose u is orthogonal to both x and y. Prove that u is also orthogonal to k₁x + k₂y, for every pair of scalars k₁ and k₂.
8. Let x and y be vectors in 3-space, and suppose u is orthogonal to both x and y. Prove that u is also orthogonal to k₁x + k₂y, for every pair of scalars k₁ and k₂.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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Question 8. Please write down the question for me too on paper so I can keep it as my notes. Thanks a lot
![8. Let x and y be vectors in 3-space, and suppose u is orthogonal to both x and y. Prove that u is also orthogonal
to k₁x + k₂y, for every pair of scalars k₁ and k₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48922dd6-b6f8-4fac-84c6-05a7db5750f6%2F9482e4fd-110b-4ba2-a0f2-0231b4b96b3f%2Fns3muwk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. Let x and y be vectors in 3-space, and suppose u is orthogonal to both x and y. Prove that u is also orthogonal
to k₁x + k₂y, for every pair of scalars k₁ and k₂.
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