Skew lines
There is a vertical (or horizontal) and a diagonal!
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Skew 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. Lines are infinite, so if they are not parallel, they have to intersect at some point on the plane.
You cannot say any more. They can be parallel but need not be. In fact, given any one line, there are infinitely many lines that are not in the same plane, nor intersecting but are not parallel. For a simple example, picture yourself in a cuboid room. Line 1: Line joining floor to opposite wall. Line 2: Line joining wall on your left to the ceiling. These line are not coplanar, nor are they intersecting. Or another Line 2: Line joining wall on your left to wall behind you. Many more.
parallel