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Let x = (-2, 3a), y = (-a, 1) and z = (3-a, -1) be vectors in R. Part(a) [3 points] Find the value(s)

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Let x = (-2, 3a), y = (-a, 1) and z = (3-a, -1) be vectors in R. Part(a) [3 points] Find the value(s) of a such that y and z are parallel. Justify your answer. Part(b) [3 points] Find the value(s) of a such that x and y are orthogonal. Justify your answer.

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