Chapter 11
Three Dimensional Geometry
Class 12 of 3d Geometry discusses the concept of three-dimensional geometry while also providing an overview and review of two-dimensional analytical geometry. This chapter uses Cartesian techniques to describe three-dimensional geometry. The basic principles of vectors and how to utilise vector algebra to solve issues related to three-dimensional geometry are also covered in this chapter.
Topics covered in this Chapter:
1. Introduction
2. Direction Cosines and Direction Ratios of a Line
3. Equation of a Line Space
4. Angle Between Two Lines
5. Shortest Distance Between Two Lines
6. Plane
7. Coplanarity of Two Lines
8. Angle between two Planes
9. Distance of a Point from a Plane
10. Angle Between a Line and a Plane
Introduction
3d Geometry Class 12 introduces the concept of three-dimensional geometry while giving an overview and revision of analytical geometry in two dimensions. This chapter explains three-dimensional geometry using Cartesian methods. The other topics included in this chapter are the basic concepts of vectors and ways to use vector algebra in solving problems related to three-dimensional geometry. Apart from this, students learn and can practise the concepts of directions and e-direction cosines along with the direction ratios of a line joining two points.
Finally, Three Dimensional Geometry class 12 helps students in learning the equations of lines and planes in space under the following conditions and much more:
- An angle between two lines
- An angle between two planes
- An angle between a line and a plane
- The shortest distance between two skew lines
- The distance of a point from a plane
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