Line E and line C can be describe as SKEW LINES.
Skew lines have the following characteristics:
1) each line is in a different plane
2) each line is not parallel to one another
3) each line does not intersect with one another
Line E is in plane M. Line C is in plane N.
These lines are not parallel. Parallel lines are defined as lines that do not intersect but are in the same plane.
These lines do not intersect.