parallel lines
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a set of parallel lines above
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No, never. Parallel lines are line that will NEVER intersect.
the parallel lines never intersect each other but they both intersect the line they are perpendicular to
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.
A transversal line cutting through parallel lines creates various angles
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.