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Points L,M,N divide the sides BC,CA,AB o...

Points `L,M,N` divide the sides `BC,CA,AB` of `DeltaABC` in the ratio `1:4, 3:2, 3:7` respectively. Prove that `vec(AL)+vec(BM)+vec(CN)` is a vector parallel to `vec(CK)` where `K` divides `AB` in the ratio `1:3`

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