Intersection of 2 lines in 3D if i know they are on the same plane

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How can i find the intersection point of 2 lines in 3D, if i know that they lie on the same plane.

I have found some more general ways to solve this in 3D but i thought that maybe there are some simple way to calculate intersection point if it is know that the lines are on the same plane.

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If two lines in $\mathbb{R^3}$ intersect, always they lie on a common plane, so there is nothing special in this condition and thus no shortcut exists to solve.