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Mathematics
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(a) Suppose ABCDEF is the vertices of a regular hexagon. Let AB = a and BC = b. (i) Express the vectors AB ,AC,AD,AE,AF in terms of a and b. (ii) Find the resultant of the forces represented by the vectors in (i), in terms of AD. (b) If O is any point within triangle ABC andP , Q and R are midpoints of the sides AB,BC, and CA respectively. Prove that OA + OB + OC = OP + OQ + OR
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