yes
It is possible.
I guess they are. If they're parallel or intersecting, then they're coplanar.
sometimes
In space with 3 or more dimensions, there are infinitely many pairs of lines that are not parallel and do not intersect.
skew lines
skew
yes
It is possible.
They are skew line. Skew line are two lines that do not intersect but are not parallel.Another definition is skew lines are straight lines that are not in the same plane and do not intersect.Either way, skew lines are the answer to your question since they are noncoplanar and do not intersect.
Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.
no
I guess they are. If they're parallel or intersecting, then they're coplanar.
skew
sometimes
Skew lines are noncoplanar; therefore they're not parallel & don't intersect.
skew lines are noncoplanar lines, which means they aren't parallel and they also don't intersect skew lines do not intersect and are not coplanar