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OpenStudy (anonymous):
Can anyone come up with a way to prove this? i have been working on it since yesterday and can not figure out how to start :/ Prove that if V ⊂ R^n is spanned by a set of vectors S, then a vector w⃗ ∈ R^n is orthogonal to every vector in V if and only if w⃗ is orthogonal to every vector in S.
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