This question is from a linear algebra course: given the pair of intersecting lines: l: (2,1,0)t+λ(-1,1,0)t          m:(3,0-2)t+ µ(1,1,1)t and the point P with coordinates (1, 0, 1)t. Is there a line through P that intersects l and m? I know the answer is (1,0,1)t+λ(3,1,-2)t, but I dont know how to get to the answer Please show it step by step with detail, show some explanation with the steps please, I am very puzzled and have no idea where to begin, thank you in advance.

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