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30. If A and B are any two vectors in V,, prove that (A - B) x (A + B) = 2(A X B). In
30. If A and B are any two vectors in V,, prove that (A - B) x (A + B) = 2(A X B). In Exercises 31 and 32, use the cross product to find an equation of the plane containing the given three points. 31. (-2, 2. 2). (-8, 1. 6). (3, 4.-1) 32. (a, b, 0). (a. 0, c). (0. b. c) In Exercises 33 and 34, find the perpendicular distance between the two given skew lines. 33. x-1 y-2 2+1 x+2 y+1 2-3 5 2 34. x+1 y+2 2-1 2+1 3 and 1 2 2 3 and 2
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