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43. If a . b = V3 and a x b = (1, 2, 2), find the angle between a and b. Answer + 44.

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43. If a . b = V3 and a x b = (1, 2, 2), find the angle between a and b. Answer + 44. a. Find all vectors v such that (1, 2, 1) X v = (3, 1, -5) b. Explain why there is no vector v such that (1, 2, 1) XV = (3, 1, 5) 45. Distance from a Point to a Line Let P be a point not on the line L that passes through the points Q and R. a. Show that the distance d from the point P to the line L is a x b d = la where a = QR and b = QP. b. Use the formula in part (a) to find the distance from the point P (1, 1, 1) to the line through Q (0, 6, 8) and R(-1, 4, 7). Answer +

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