Yes.
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CorrectParallel lines as well as intersecting lines must be coplanar (in Euclidean geometry not quite sure about hyperbolic geometry...).Lines in space which neither are coplanar nor intersecting are called "skew"
Yes. They're in the plane defined by the two intersecting lines.
Yes. The two lines define a plane which they both belong to.
I guess they are. If they're parallel or intersecting, then they're coplanar.
yes, two lines can be coplanar.