Parallel lines will be co-planar.
Parallel lines in Euclidean space are always coplanar.
Parallel lines are a specific type of coplanar lines that never intersect and are always the same distance apart. While all parallel lines are coplanar, not all coplanar lines are parallel; coplanar lines can also intersect at some point. Therefore, while the two concepts are related, they are not synonymous.
CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"
No, not always. Skew lines are never coplanar, but parallel lines are.
Parallel.
Parallel lines in Euclidean space are always coplanar.
are two lines that are not parallel, coplanar, and do not intersect
Coplanar lines that do not intersect are called parallel lines.
If they are coplanar in a Euclidean space, then yes. If they are not coplanar or not in Euclidean space, then not necessarily.
parallel lines
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.
CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"
No, not always. Skew lines are never coplanar, but parallel lines are.
parallel
Parallel.
Parallel lines.
parallel lines