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Three-Dimensional Geometry: Lines
Mathematics · Chapter 14 · Unit 5: Three-Dimensional Geometry
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Your path through this chapter
Visual lesson Beta
- Part 1: Direction, angles and equations21 slides
- Part 2: Intersection, distance from a line and shortest distance16 slides
Flashcards Beta
30 cards for quick recall of key terms and facts.
Review the cards Step 3: Not startedPractice
67 board-style questions with instant checks: Multiple choice 26, Short answer 19, Long answer 6, Assertion and reason 5.
Practise Step 4: Not startedChapter test Free
Short and long chapter tests in board pattern, with results and analysis.
Step 5: Not started- Chapter test (long) — Three-Dimensional Geometry: Lines · 40 marks · 100 min
- Chapter test (short) — Three-Dimensional Geometry: Lines · 20 marks · 50 min
Topics 5
- Direction cosines and direction ratios of a line through two points; equations of the coordinate axes and planes
- Angle between two lines; conditions for lines to be perpendicular or parallel
- Vector and Cartesian equations of a line through a point with given direction and through two points
- Coplanar and skew lines; condition for two lines to intersect; distance of a point from a line
- Shortest distance between two skew lines and between parallel lines