are two lines that are not parallel, coplanar, and do not intersect
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parallel lines
If they intersect or are parallel.
In Euclidean space, they could intersect along their whole lengths (in the lines are identical), at a point if they are coplanar and not parallel, or nowhere if they are parallel or skew.
Parallel lines remain equal distance apart and never intersect with each other.
Yes. Parallel Lines are also two coplanar lines that do not intersect.