(a) Let c(t) be a path with c(t) = constant; that is, the

Chapter , Problem 8

(choose chapter or problem)

(a) Let c(t) be a path with c(t) = constant; that is, the curve lies on a sphere. Show that c (t) is orthogonal to c(t). ( (b) Let c be a path whose speed is never zero. Show that c has constant speed if and only if the acceleration vector c is always perpendicular to the velocity vector c . 9

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