Question: In a triangle OAB the sides OA (vector) = a and OB(vector) = b are given. Find the point P, with c = OP(vector), where

In a triangle OAB the sides OA (vector) = a and OB(vector) = b are given. Find the point P, with c = OP(vector), where the perpendicular bisectors of the two sides intersect. Hence prove that the perpendicular bisectors of the sides of a triangle meet at a point.

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