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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.
Two coplanar (in the same plane) lines that don't meet are parallel.
¢The forces, which meet at one point, but their lines of action do not lie on the same plane, are known as non-coplanar concurrent forces.
They meet perpendicularly. Perpendicular lines meet at a 90 degrees angle.
mama mo * * * * * An angle is formed when 2 lines meet at a point: the vertex. Two lines which meet in this way always define a plane. Coplanar angle are two or more angles which are all in the same plane. In 3-dimensional space, it is easy to find angles which are not coplanar. For example, in a cuboid room, the angle formed by the lines where the floor meets two adjacent walls, and where the ceiling meets the same two walls are not coplanar: the angles lie in parallel planes. The same first angle and the angle formed where the ceiling meets another pair of walls are neither coplanar nor in parallel planes: they are in skew planes.