Vectors r and r_ for lines a. If r1t2 = 8at, bt, ct9 with

Chapter 11, Problem 85

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Vectors r and r_ for lines a. If r1t2 = 8at, bt, ct9 with 8a, b, c9 _ 80, 0, 09, show that the angle between r and r_ is constant for all t 7 0. b. If r1t2 = 8x0 + at, y0 + bt, z0 + ct9, where x0, y0, and z0 are not all zero, show that the angle between r and r_ varies with t. c. Explain the results of parts (a) and (b) geometrically. 8

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