In Rª, let S = {(1,2,2, –1), (0, –1,4, 2)} and T = U = sp(S) and W = sp(T). Find a basis for U +W and determine the dimension of {(2, 5, 0, –4), (0, 2, –8, 3)}, and let UnW.

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Q: Use the dot product to determine whether v = 5i and w = -6i are orthogonal.

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