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Are any two lines always coplanar?
No, not always. Skew lines are never coplanar, but parallel lines are.
Are a line and a plane that do not intersect always sometimes or never skew?
A line and a plane that do not intersect are always skew. Skew refers to two or more lines or planes that are not parallel and do not intersect. Since a line and a plane are different-dimensional objects, they will never intersect and will always be skew.
When are two lines in intersecting planes skew?
Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.
What is an antonym for skew lines?
Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.
Are two skew lines ever parallel?
They could be if they are both skew to the same line.
