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

                       

Additional Links for Skew Lines