Q: Are skew lines never parallel

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They're either parallel lines or skew lines.

No, not always. Skew lines are never coplanar, but parallel lines are.

parallel lines If they are not on the same plane and never intersect they are skew

They're either parallel lines or skew lines.

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.

Related questions

skew lines

No. Skew lines are lines in different planes that are parallel.

These lines do not share the same plane and can be described as skew.

Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.

They're either parallel lines or skew lines.

No, not always. Skew lines are never coplanar, but parallel lines are.

parallel lines If they are not on the same plane and never intersect they are skew

They're either parallel lines or skew lines.

They're either parallel lines or skew lines.

No. If they are parallel, then a plane exists which both lines lie in. Skew lines can not be on the same plane.

Two lines that are not parallel and do not intersect are skew. If the non-intersecting lines are in the same plane then they are parallel.

skew lines are noncoplanar lines, which means they aren't parallel and they also don't intersect skew lines do not intersect and are not coplanar