Is it possible for two lines to not intersect and not be parallel

Question

Is it possible for two lines to not intersect and not be parallel? Explain your answer. If these kinds of lines have a name, what is it?

Answer 1

If two lines do not intersect it is possible for them to be non-parallel in three dimensional space. In that event the lines are skew.

Answer 2

If you are in an elevator, the wall behind you meets the wall to your left in a line segment. Similarly, the wall/door in front of you meet in a line segment.

If these two segments were extended into lines, they are clearly neither in the same plane nor parallel.

The name for this type of lines is skew lines.