Let {u1, u2, v} be linearly independent vectors in an inner product space V, and suppose
Chapter 5, Problem 33(choose chapter or problem)
Let {u1, u2, v} be linearly independent vectors in an inner product space V, and suppose that u1 and u2 are orthogonal. Define the vector u3 in V by u3 = v + u1 + u2, where , are scalars. Derive the values of and such that {u1, u2, u3} is an orthogonal basis for the subspace of V spanned by {u1, u2, v}.
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