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Find the coordinate of the point P where...

Find the coordinate of the point P where the line through `A(3,4,5)` and `B(2,3,1)` crosses the plane passing through three points `L(2,2,1),M(3,0,1)` and `N(4,1,0)` . Also, find the ratio in which P divides the line segment `A B` .

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