April 28th, 2017, 01:55 PM  #1 
Member Joined: Nov 2016 From: Kansas Posts: 65 Thanks: 0  Orthogonal matrix
v= $(1,2,4)^{T}$ u=$(1,1,1)^{T}$ w=$(2,1,1)^{T}$ verify that <v,w>=0 and give a description of all vectors z with $orth_{v}$z=w. I have shown <v,w>=0 but what about the description. What I can tell that $Proj_{v}$z=0 and $orth_{v}$z=z=w. Is it correct or is there a different description. 

Tags 
matrix, orthogonal 
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