Class 12 Maths · Chapter 11 · CBSE / NCERT
Three Dimensional Geometry
Lines in space. You’ll learn direction cosines and ratios, the equations of a line, the angle between two lines, and the shortest distance between them.
14 short lessons · about 58 minutes in all
What you’ll learn
- 1Direction cosines: which way a line points4 min
- 2Direction ratios: simpler numbers for the same direction4 min
- 3Turning direction ratios into direction cosines4 min
- 4Direction cosines of the line through two points4 min
- 5Are three points on one line?4 min
- 6The vector equation of a line4 min
- 7The Cartesian equation: point on top, direction underneath5 min
- 8The line through two points4 min
- 9The angle between two lines4 min
- 10Testing for perpendicular and parallel lines4 min
- 11Reading the angle off two line equations4 min
- 12Skew lines: neither parallel nor meeting4 min
- 13The shortest distance between skew lines5 min
- 14The distance between parallel lines4 min
No account needed
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Direction cosines: which way a line points · about 4 minutes
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More Class 12 Maths
The other 12 chapters.
CH 1Relations and Functions14 lessonsCH 2Inverse Trigonometric Functions14 lessonsCH 3Matrices14 lessonsCH 4Determinants14 lessonsCH 5Continuity and Differentiability14 lessonsCH 6Application of Derivatives12 lessonsCH 7Integrals18 lessonsCH 8Application of Integrals10 lessonsCH 9Differential Equations14 lessonsCH 10Vector Algebra14 lessonsCH 12Linear Programming12 lessonsCH 13Probability14 lessons
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