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the point D, E and F divides the side BC ,CA and AB of a triangle in the ra

the point D, E and F divides the side BC ,CA and AB of a triangle in the ratio 1:4 , 3:2 and 3:7 respectively. show that there exist a point G such that the sum of the vectors AD BE,CF is parallel to CG what is the ratio in which G divides AB

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