Tap every pair of lines that could be skew
Exercise and reference answers
- Questions
- Items
- Text
- Two lines in space that never meet and are not parallel
- Matches the category
- Yes
- Text
- Two lines lying in different planes, never meeting
- Matches the category
- Yes
- Text
- Two parallel lines
- Matches the category
- No
- Text
- Two lines crossing at a point
- Matches the category
- No
- Text
- Two lines in the same plane that never meet
- Matches the category
- No
- Category
- Could be a pair of SKEW lines
Explanation
Skewness rules out both meeting and being parallel
so it can only happen in three dimensions. Source: syllabus Maths Part II, Ch 11 Three Dimensional Geometry.
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