yes in fact they do! if they are pointed away from each other then if you make a longer line you will see they intersect! same with if they are coming towards each other.
Hope this helps!
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if they are parallel -- no. if not parallel -- yes
No, never. Parallel lines are line that will NEVER intersect.
Coplanar lines that don't intersect are parallel. Lines that are not parallel and do not intersect are skew lines.
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
parallel ============================================= Parallel. _____________________ _____________________ Those two lines will NEVER intersect.