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countblessings
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Joined: June 7th, 2012, 11:05 am

Orthogonal Projection

June 27th, 2013, 7:17 pm

How can it be shown, either mathematically -or- geometrically, that the orthogonal projection of vector x onto vector us is given by x' * u (x transpose multiplied by u)?
 
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acastaldo
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Orthogonal Projection

June 28th, 2013, 1:33 am

Use x'*u = <x,u> = ||x|| * ||u|| * cos Theta
 
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Cuchulainn
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Joined: July 16th, 2004, 7:38 am

Orthogonal Projection

June 28th, 2013, 7:43 am

I am not sure what you want to do exactly, but the Gram Schmidt process might also shed some more light. It is numerically unstable and a modified version is used.
Last edited by Cuchulainn on June 27th, 2013, 10:00 pm, edited 1 time in total.