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Are any two lines always coplanar?
No, not always. Skew lines are never coplanar, but parallel lines are.
Which best describes skew lines?
Skew lines can simply be described as two lines that are not coplanar (they are not in the same plane). This means that they do not intersect and are not parallel.
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.
Are any two noncoplanar lines skew?
I guess they are. If they're parallel or intersecting, then they're coplanar.
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"
