Using the law of cosines, find the (acute) angle between the vectors x = (1, 0)^T an⃗y = (1, 1^)T. Find the vector projection, p, of x = (1, 0)^T onto y = (1, 1)^T. Then show that p is orthogonal to (x − p). Recall: two vectors are orthogonal if the scalar product of these vectors is zero.

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