Find parametric equations for the line through the point (1, 0,−2) that intersects the line x = 3t + 1, y = 5 − 7t, z = t + 12 orthogonally. (Hint: Let x0 = 3t0 + 1, y0 = 5 − 7t0, z0 = t0 + 12 be the point where the desired line intersects the given line.)
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