Question: In C[0, 1], with inner product defined by (3), consider the vectors 1 and x. Compute ||1 - p||, ||p||, ||1|| and verify that the

In C[0, 1], with inner product defined by (3), consider the vectors 1 and x.
Compute ||1 - p||, ||p||, ||1|| and verify that the Pythagorean Law holds.

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