Skew lines are two or more lines that do not intersect, are not parallel, and are not coplanar. (Remember that parallel lines and intersecting lines lie on the same plane.)
Are skew lines Noncoplanar?
Skew lines are lines that are non-coplanar (they do not lie in the same plane) and never intersect.
Are skew lines collinear?
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. ... Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar.