Consider the set of vectors S = {u= (-1, 2, – 1), v= (2, – 5, 0), w= (1, – 3, – 1)}, then find the vector orthonormal projection of "u" on "v" and the vector orthonormal projection of "u" on "w" respectively. | - -

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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7. Consider the set of vectors S = {u = (-1, 2, – 1), v = (2, – 5, 0), w =
(1, – 3, – 1)}, then find the vector orthonormal projection of "u" on "v"
and the vector orthonormal projection of "u" on "w" respectively.
Transcribed Image Text:7. Consider the set of vectors S = {u = (-1, 2, – 1), v = (2, – 5, 0), w = (1, – 3, – 1)}, then find the vector orthonormal projection of "u" on "v" and the vector orthonormal projection of "u" on "w" respectively.
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