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If A represents a vector one unit long directed due east, B represents a vector three units long directed due north, and A + B = 2C − D and 2A − B = C + 2D, determine the length and direction of C.
2. oint A(−4, 2, 5) and the two vectors, RAM = (20, 18 − 10) and RAN = (−10, 8, 15), define a triangle. Find (a) a unit vector perpendicular to the triangle; (b) a unit vector in the plane of the triangle and perpendicular to RAN ; (c) a unit vector in the plane of the triangle that bisects the interior angle at A.
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