Solved: In C[0, 1], with inner product defined by (3), consider the vectors 1 and x. (a)

Chapter 5, Problem 8

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In C[0, 1], with inner product defined by (3), consider the vectors 1 and x. (a) Find the angle between 1 and x. (b) Determine the vector projection p of 1 onto x and verify that 1 p is orthogonal to p. (c) Compute 1 p, p, 1 and verify that the Pythagorean law holds. 9. In

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