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Consider the vectors u = (1, 2, 3) , v = (8, 1, 5) and w = (8, k, 9) , for some constant k.

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Consider the vectors u = (1, 2, 3) , v = (8, 1, 5) and w = (8, k, 9) , for some constant k. Enter your answers in the corresponding spaces provided. (Exercise ID: #63226085) a) Determine the cosine of the angle between u and w in terms of k. (Exercise ID: #63226086) b) Determine a non-zero vector perpendicular to both u and w in terms of k.

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