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ABCD is a quadrilateral and E the point of intersection of the lines joining the middle points of opposite sides. Show that the resultant

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ABCD is a quadrilateral and E the point of intersection of the lines joining the middle points of opposite sides. Show that the resultant of vector OA,OB, OC and OD is equal to vector 4OE, where O is any point.

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Position vector of E is 

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