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Let B={u1,...un} be an orthonormal basis for inner product space V and v b any vector...

Let B={u1,...un} be an orthonormal basis for inner product space V and v b any vector in V. Prove that v =c1u1 + c2u2 +....+cnun where c1=<v,u1>, c2=<v,u2>,...,cn=<v,un>

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