Prove that the lines r = (1, 2, 1) + t(2, 2, 1) and r = (1,

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Prove that the lines r = (1, 2, –1) + t(2, 2, 1) and r = (–1, –2, 3) + s(4, 6, –3) intersect, and find the coordinates of their point of intersection. Also find the acute angle between the lines.

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