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In the plane of DeltaABC, let 'O' be any...

In the plane of `DeltaABC`, let 'O' be any point different from the vertices. Suppose the lines AO, BO and CO meet the opposite sides BC, CA and AB in D, E and F respectively using vector methods prove that `(OD)/(AD)+(OE)/(BE)+(OF)/(CF)=1`.

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