2. Let x = (1, 1, 1, 1)" and y = (8, 2, 2, 0)". (a) Determine the angle 0 between x and y. (b) Find the vector projection p of x onto y. (c) Verify that x – pis orthogonal to p. (d) Compute ||x – p||2, ||p||2, ||x||2 and verify that the Pythagorean law is satisfied.

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A: Proceed as shown below

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A: to Show that the  given vector is perpendicular to the  given line

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