Question: Let (u1, u2, u3} be an orthonormal basis for an inner product space V. If x = c1u1 + c2u2 + c3u3 is a vector

Let (u1, u2, u3} be an orthonormal basis for an inner product space V. If x = c1u1 + c2u2 + c3u3 is a vector with the properties ||x|| = 5, (u1, x) = 4, and x ⊥ u2, then what are the possible values of c1, c2, c3?

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