Use the inner product represented by = u¡V¡ +2 uv; + uzV3 in the following questions, where u- (1, -2, 2) and v= (0, -2, 3) are the vectors of a subspace basis in R?. (1) Find ||u||, l|v|| ,Cos(0) and the distance between u & v.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 41E: Use the inner product u,v=2u1v1+u2v2 in R2 and Gram-Schmidt orthonormalization process to transform...
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Use the inner product represented by <u,v> = u¡V¡ +2 uv; + uzV3 in the following questions, where
u= (1, -2, 2) and v= (0, -2, 3) are the vectors of a subspace basis in R?.
(1) Find ||u||, l|v|| ,Cos(0) and the distance between u & v.
Transcribed Image Text:Use the inner product represented by <u,v> = u¡V¡ +2 uv; + uzV3 in the following questions, where u= (1, -2, 2) and v= (0, -2, 3) are the vectors of a subspace basis in R?. (1) Find ||u||, l|v|| ,Cos(0) and the distance between u & v.
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