Question: a. If r(t) = (at, bt, ct) with (a, b, c) (0, 0, 0), show that the angle between r and r' is constant

a. If r(t) = (at, bt, ct) with (a, b, c) ≠ (0, 0, 0), show that the angle between r and r' is constant for all t > 0.

b. If r(t) = (x0 + at, y0 + bt, z0 + ct), 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.

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