16. Let r(t) be the position vector in R³ for a particle that moves with constant speed c>0 in a circle of radius a > 0 in the xy-plane. Show that a(t) points in the opposite direction as r(t) for all t. (Hint: Use Example 1.37 to show that r(t) I v(t) and a(t) I v(t), and hence a(t) || r(t).)

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