If they are in the same plane, two lines that don't intersect are said to be "parallel".
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Parallel straight lines never intersect.
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)
Zero; parallel lines never intersect.
Lines don't intersect:- 1) When lines are parallel 2) When lines don't lie on same plane
There is an infinite number of lines.