Answer:
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.
Step-by-step explanation:
Two lines that both lie in the same plane must either cross each other or be parallel so skew lines can exists only in 3 or more dimensions. Two lines are skew lines if they are noncoplanar.
Skew lines are those lines which are not parallel and not intersect each other. They are found in three dimensional geometry.
The lines which have equal distance and cannot meet each other are known as parallel lines.
The lines which lie in the same plane is known as coplanar lines.
The lines which do not lie in the same plane is known is noncoplanar lines.
Two lines are skew and coplanar?
For the two lines to be coplanar they both need to lie in the same plane and do not intersect each other and not to be parallel to each other but:
They both are contradicting.
Hence it shows that if two lines are skew lines then they are noncoplanar.
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