Find a formula for the projection of any given vector w onto the plane u · x = 0 in R', where u is a known nonzero vector, not necessarily having unit length.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Find a formula for the projection of any given vector w onto the plane u · x = 0 in R',
where u is a known nonzero vector, not necessarily having unit length.
Transcribed Image Text:Find a formula for the projection of any given vector w onto the plane u · x = 0 in R', where u is a known nonzero vector, not necessarily having unit length.
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