(a) Let P1, P2, P3, P4, P5, and P6 be six points equally spaced on a circle...

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(a) Let P1, P2, P3, P4, P5, and P6 be six points equally spaced on a circle with centre C. Show that
CP + CP, + CP, + CP, + CP; + CP, = C.

(b) Show that the conclusion in part (a) holds for any even set of points evenly spaced on the circle.

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