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If rays, parallel ones. If segments there are many more options because you can have a segment that is not long enough to reach the point of intersection.
No, non-coplanar lines are not skew. Skew lines are non-coplanar lines that do not intersect and are not parallel. Non-coplanar lines are simply lines that do not lie in the same plane. Skew lines, on the other hand, are non-coplanar and not parallel, making them a specific subset of non-coplanar lines.
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Two coplanar lines that never intersect are called called parallel lines.
Coplanar lines that do not intersect are parallel. Non-coplanar lines that do not intersect are called skew lines.