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Are parallel lines in space coplanar?
Parallel lines will be co-planar.
If two lines are not coplanar then they are neither intersecting nor parallel?
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"
When are skew lines coplanar?
Never! Coplanar means that the two lines lie in the same two-dimensional plane. The only way that two lines do not intersect in two-dimensional space is if they are parallel. And by definition, skew lines are not allowed to be parallel, either.So essentially there is no such thing as skew lines that only occupy two dimensions. Skew lines must be in three dimensions or higher in order to (1) not intersect and (2) not be parallel with each other.
How many non coplanar line determine a space?
3 non-coplanar (pairwise) lines for 3 dimensional space.
What are lines that go on foever and never cross?
In 2-dimensional space they must be parallel. In 3-d space they be parallel or skew lines I believe.
