skew lines


Definition of Skew Lines

  • Two nonparallel lines in space that do not intersect are called skew lines.

Examples of Skew Lines

  • are skew lines in the figure shown.

Solved Example on Skew Lines

Which of the following are skew lines?

Choices:
A. and
B. and
C.  and
D.  and  
Correct Answer: D
Solution:
Step 1: Two nonparallel lines in space that do not intersect are called Skew lines.
Step 2: Among the pairs, the lines and  are nonparallel and lie in different planes, and do not intersect each other.
Step 3:  So, and are skew lines among the given pairs.

Related Terms for Skew Lines

  • Parallel Lines
  • Space