iCoachMath
STEM Excellence Series: Empowering the Next Generation
SKEW LINES
Skew Lines
Definition Of Skew Lines
Two nonparallel lines in space that do not intersect are called skew lines.
Example of Skew Lines
are skew lines in the figure shown
Video Examples: Parallel and Skew Lines
Solved Example on Skew Lines
Ques: Which of the following are skew lines?
Choices:
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.
Quick Summary
- Skew lines are non-parallel.
- Skew lines do not intersect.
- Skew lines exist in three-dimensional space.
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🍎 Teacher Insights
Use physical models (e.g., pencils, straws) to demonstrate skew lines in the classroom. Emphasize the three-dimensional nature of skew lines. Relate to real-world examples, such as roads on different levels of an overpass.🎓 Prerequisites
- Parallel lines
- Intersecting lines
- Planes in space
- Non-parallel lines
Check Your Knowledge
Q1: Which of the following is true about skew lines?
Q2: Skew lines exist in:
Frequently Asked Questions
Q: Are skew lines in the same plane?
A: No, skew lines lie in different planes.
Q: Can skew lines be perpendicular?
A: Yes, skew lines can be perpendicular, but they don't have to be.