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Calculus and Beyond Homework Help
Finding the Orthogonal Complement
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[QUOTE="ehild, post: 5443662, member: 481"] In R[SUP]3[/SUP], the orthogonal complement of a two-dimensional subspace is one-dimensional, that is spanned by a single vector. You have found that vector, and the subspace consists of all vectors of form (x,y,z) = (.5z, -1.5z,z) , as you wrote. So your solution is correct, but it was not needed to orthogonalize the the basis. You can find a vector perpendicular to other two independent ones by cross-product them. [/QUOTE]
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Finding the Orthogonal Complement
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