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Class 12 Mathematics
Three Dimensional Geometry
CBSE · Class 12 · Mathematics · Chapter 11
Three Dimensional Geometry
Lines and planes in 3D geometry.
5 lessons
85 min
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Lessons in this chapter
1
Directions and Coordinates in Space
Use coordinate changes and vectors to describe the direction of a line in three dimensions.
2
Representing a Line in Space
Build line equations from a point and a direction, then move confidently between vector and coordinate forms.
3
Angles and Relationships between Lines
Compare direction vectors to find angles and recognise parallel or perpendicular directions.
4
Shortest Distance Between Lines
Use common perpendiculars, projections, and vector products to measure separation between lines in space.
5
Chapter Summary and Practice
Connect directions, line equations, angles, and distances through a complete chapter review and mixed problem solving.
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