If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)
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The lines have to intersect because lines go on forever and if then are not parallel then they will collide. Even if they are not parallel by one degree they will still intersect.
Non-parallel lines intersect at some point, parallel lines don't.
A vertex? In non-euclidean geometry: A two distinct parallel lines intersect in the "Infinity zone"
no, if two lines are not parallel then the will eventually have to intersect.Alternate perspective:Yes, if two lines are non-parallel, they need not intersect in three dimensional space.
No, never. Parallel lines are line that will NEVER intersect.