They are called skew lines.
If they are not parallel and do not intersect then they would not be in the same plane (not possible), but they would be called skew lines.
They are parallel lines
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
They are parallel lines
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)
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
If they are not parallel and do not intersect then they would not be in the same plane (not possible), but they would be called skew lines.
They are parallel lines
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
Coplanar lines that do not intersect are parallel. Non-coplanar lines that do not intersect are called skew lines.
parallel lines
They are parallel lines
Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not 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)
Parallel lines
parallel lines
They are said to be parallel lines