Question: Given x = (1, 1, 1, l)T and y = (8, 2, 2, 0)T: (a) Find the vector projection p of x onto y. (b)

Given x = (1, 1, 1, l)T and y = (8, 2, 2, 0)T:
(a) Find the vector projection p of x onto y.
(b) Verify that x - p is orthogonal to p.
(c) Compute ||x - p||2, ||p||2, ||x||2 and verify that the Pythagorean Law is satisfied.

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