Question: 4. Let V be an inner product space with basis B = {U1, U2, 73} such that (31, 71) = 1 (71, U2) = 2

4. Let V be an inner product space with basis B = {U1, U2, 73} such that (31, 71) = 1 (71, U2) = 2 (71, 03) = 0 ( 72, 72) = 2 (72, 03) = 0 (73, 73) = 3 Let x E V such that (x, U1) = 4 (5, 62) = 2 (2, 03) = 1 (a) Find a, b, c E R such that C = {U1, av] + bu2 + CU3, 13} is an orthogonal basis for V.(b) Write a as a linear combination of the vectors in C

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