Roads are an example of intersecting lines in the real world.
Did you mean "real world examples of parallel lines"? If so, railroad tracks are a perfect example.
Coplanar just means that all forces act within a single plane, rather than in three dimensions. Examples aren't really necessary -- it's really a mathematical abstraction, because in the real world forces act in three dimensions.
the lines of the brooklin bridge
Most four way intersections are perpendicular. The yard lines on a football field are perpendicular to the sidelines.
Transversal lines cut through or touch parallel lines as for example support sleepers on a rail track or transversal supports on a gate
in the real world
The lines on a highway
the Horizontal line of you bed to the vertical lines of your bedposts