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Chapter 12 - Introduction to Three Dimensional Geometry

In previous classes, you have studied two-dimensional geometry. In this chapter, you’ll learn the fundamental concepts of three-dimensional geometry. It is interesting to know that most of the things around us are three-dimensional in space such as a book, laptop, dice, globe, bucket, ice cube, etc.  Even a flat paper has some sort of thickness! Therefore an in-depth knowledge of three-dimensional spaces is indispensable! In this chapter, you’ll learn about coordinate geometry in three-dimensional spaces, the distance between two points and the section formula. Even scientists and engineers use the concepts of 3D geometry while dealing with velocity, fluid flows, electrical signals and more.

Let’s take a look at topics and sub-topics of Class 11 Maths Chapter 12, Introduction to Three Dimensional Geometry

12.1 Introduction

12.2 Coordinate Axes and Coordinate Planes in Three Dimensional Space

12.3 Coordinates of a Point in Space

12.4 Distance between Two Points

12.5 Section Formula

In Class 11 Maths Chapter 12, you will learn – 

Section 12.2 – In this section, you’ll learn what to coordinate axes and coordinate planes are in three-dimensional spaces. You’ll also study concepts such as octants and origin of the coordinate system.

Section 12.3 – In this section, you’ll learn how to locate the coordinates of a point in space, given the coordinate axes, coordinate planes and the origin.

Section 12.4 – In this section, you’ll acquire knowledge about the distance between two points in a three-dimensional coordinate system.

Section 12.5 – In this section, you’ll study how to find the coordinates of a point in three-dimensional geometry using the section formula.

In this chapter, you are provided with several diagrams and examples along with their solutions for a clear understanding of Introduction to Three Dimensional Geometry. To know more about Class 11 Maths Chapter 12 Introduction to Three Dimensional Geometry, you should explore the exercises below. You can also download the Introduction to Three Dimensional Geometry Class 11 NCERT Solutions PDF, solved by expert Maths trainers.

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