Given the (regular) inner product space (R"(R),+,.,) and the vectors x,y,u,veR". If we know that uz0, uov W=v- U |x=1=ly and the angle of x,y is π/4, then prove that the vector |u|² vector u. Then give the geometric interpretation of the vector w in the case where n=2. is perpendicular to the
Given the (regular) inner product space (R"(R),+,.,) and the vectors x,y,u,veR". If we know that uz0, uov W=v- U |x=1=ly and the angle of x,y is π/4, then prove that the vector |u|² vector u. Then give the geometric interpretation of the vector w in the case where n=2. is perpendicular to the
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 87E
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Question
![2B
Given the (regular) inner product space (R"(R),+,.,0) and the vectors x,y,u,vĒR". If we know that u#0,
Uov
W=v-
·U
|x=1=ly and the angle of x,y is л/4, then prove that the vector
vector u. Then give the geometric interpretation of the vector w in the case where n=2.
|u|²
is perpendicular to the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4d74cef-f64d-4ed0-a004-41e9fb8cce2f%2F5ac9de54-38d4-48e0-a141-158e109659f1%2Fsw9rqua_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2B
Given the (regular) inner product space (R"(R),+,.,0) and the vectors x,y,u,vĒR". If we know that u#0,
Uov
W=v-
·U
|x=1=ly and the angle of x,y is л/4, then prove that the vector
vector u. Then give the geometric interpretation of the vector w in the case where n=2.
|u|²
is perpendicular to the
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