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Basis of Orthogonal Complement 
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#1
Apr2010, 11:10 PM

P: 7

Let S be the subspace of R^3 spanned by x=(1,1,1)^T.
Find a basis for the orthogonal complement of S. I don't even know where to start... I would appreciate your help! 


#2
Apr2010, 11:19 PM

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P: 25,251

If (a,b,c)^T is a general vector in R^3 then it's orthogonal to (1,1,1)^T if the dot product is zero. What conditions does that give you on a, b and c?



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