Question: Let u1, u2, ..., un be vectors in Rn. Show that if u is orthogonal to u1, u2,..., un then u is orthogonal to every

Let u1, u2, ..., un be vectors in Rn. Show that if u is orthogonal to u1, u2,..., un then u is orthogonal to every vector in span {u1, u2,..., un}.

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