Skew Lines
Easymathematics
Two lines in 3D space that are neither parallel nor intersecting are called
Select the correct option:
Solution
Incorrect! Answer:
Skew lines
- 2D vs 3D: In 2D, lines are either parallel or they must intersect. In 3D, a third possibility exists.
- Definition: Skew lines are two lines that do not lie in the same plane. Because they are in different planes, they cannot be parallel (requires a shared plane) and cannot intersect (requires a shared point, and thus a shared plane).
- Distance: The shortest distance between skew lines is always non-zero.
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About This Question
- Subject
- mathematics
- Chapter
- three dimensional geometry
- Topic
- skew lines
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Skew lines
- 2D vs 3D: In 2D, lines are either parallel or they must intersect. In 3D, a third possibility exists.
- Definition: Skew lines are two lines that do not lie in the same plane. Because they are in different planes, they cannot be parallel (requires a shared plane) and cannot intersect (requires a shared point, and thus a shared plane).
- Distance: The shortest distance between skew lines is always non-zero.
This easy difficulty mathematics question is from the chapter three dimensional geometry, covering the topic of skew lines. It appeared in the 2025 exam.
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