yes
parallel lines
Parallel lines.
Vertex
It is possible.
skew lines
skew
yes
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.
parallel lines
Skew lines.
Parallel lines.
The intercept
Vertex
It is possible.
They do not. A set of lines can also be considered as a system of linear equations. But the fact that there is such a system does not mean that the lines intersect.
Noncoplanar is a term in geometry referring two or more figures, lines, or points that do not all lie in the same plane.