Never. If they are parallel then the original line and the two perpendiculars would be coplanar which, they are required not to be.
A transversal.
skew lines
No. Skew lines are never coplanar. Stand in a cuboid room and consider the line where the opposite wall and the floor meet. Consider also the line where the walls behind you and to your right meet. Those two lines are not coplanar.
Transversal
they lie in the same plane
transversal
One line cannot be coplanar, and there is nothing for it to meet.
It is a tranversal.
Two points (which must lie on a line) and the third point NOT on that line.
They are coplanar if the line joining any two of them intersects the line joining the other two.
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar