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April 28th, 2017, 01:55 PM   #1
ZMD
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Joined: Nov 2016
From: Kansas

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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.
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