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Prove that the line through A(0,1,1) and...

Prove that the line through `A(0,1,1)` and `B(4,5,1)` intersects the line through `C(3,9,4)` and `D(4,4,4)` .

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Find the coordinates of the points where the line through (3,-4,-5) and (2,-3,1) crosses the plane,passing through the point (2,2,1)(3,0,1) and (4,-1,0).