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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
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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