Are very common but do not have any particular name.
Sit in the corner of a cuboid room. Consider one line which is defined by the floor and the wall on your left. Consider the other as that formed by the ceiling and the wall on your right.
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skew
They may be either parallel or skew.
In geometry, two planes intersect in a line. The only time this is not true is if the two planes are parallel to each other.
Some planes are parallel and don't intersect at all. Those that do intersect (and that are not coincident, i.e. the same plane) intersect in a line.
If the lines are in the same plane and never intersect they are always parallel. Two line can not intersect and be parallel if they are in different planes though. Take a cube for example, if you have one Sid of it and take the edge and then go to the opposite side and make a horizontal line they will never intersect but are also not parallel.