Question: Let V be a vector Space, and let (-, ) : V X V > R be an inner product over V. Let S :

Let V be a vector Space, and let (-, ) : V X V > R be an inner product over V. Let S : {V1, V2, . . . , vn} g V be a set of vectors in V (no assumption of orthonormality). Then for all nonzero x E V, if for all' 1 S 2' g n we have (x, Vi) : 0 then x e? Span(S)

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