Class 11th Math Three Diemensional Geometry Formulas CBSE 2023
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Introduction to Three-Dimensional Geometry Class 11 Notes

Introduction to Three-Dimensional Geometry Class 11 Formulae

Chapter 12 Introduction to Three-Dimensional Geometry 

NCERT notes are important to students. Through these notes, you will learn about the representation of points and various 3D shapes. You will also learn more about the essential features and characteristics of three-dimensional shapes. These NCERT Class 11 math notes from Vidyakul are based on the latest CBSE curriculum.

Vidyakul provides students with the NCERT notes for this chapter free of charge. These NCERT notes help students learn how to properly solve exam questions. In addition to these notes, Vidyakul provides over 200 exercises covering 16 concepts in this chapter. These exercises are useful for expanding students' knowledge. Therefore, in order to pass the exam with a good score, students must pass the exam.


Points to Remember

Some of the important points to remember from this chapter are as follows:

  • Distance between two points A( x1 , y 1 , z1 ) and B( x2 , y2 , z2 ): √[(x2– x1 )2 + (y2 – y1)2 + (z2 – z1)2 ]

  • Coordinates of mid-point of given line segment that joins the two points A( x1 , y 1 , z1 ) and B( x2 , y2 , z2 ) are [ (x1 + x2 )/2, (y1 + y2 /2) , (z1 + z2 /2) ]

  • The coordinates of centroid of triangle and their vertices are (x1 , y 1 , z1 ) , (x2 , y2 , z2 ) and (x3 , y3 , z 3 ) are [ (x1 + x2 + x3 )/3, (y1 + y2+ y3 /3) , (z1 + z2 + z3 /3) ]

  • Midpoint of a Line Segment: [½ (x1 + x2), ½(y1 + y2), ½(z1 + z2)]

  • Coordinates of Centroid of a Triangle: [⅓ (x1 + x2 + x3), ⅓ (y1 + y2 + y3), ⅓ (z1 + z2 + z3)]


Topics and Sub-topics

Students can dispel their doubts by referring to NCERT notes for Math 11th Grade. In addition, math notes for grades 11 to 12 cover all important topics in 3D geometry. The overarching topics in Chapter 12 will teach students the basics of 3D geometry. Students should be familiar with coordinate geometry to understand the concepts of these topics.

Important topics include calculating the distance between two points, section formulas, and more. NCERT 11th Math Chapter 12 notes contains 14 questions. Vidyakul’s talented professionals are developing these notes to help students achieve better grades. Vidyakul also provides free NCERT examples and books. These study materials are very helpful in preparing for the exam.

Now, let us look at the important topics from this chapter:

Sr. No.

Topic Name




Co-Ordinate Axes and Co-ordinate Planes in Three Dimensional Space


Coordinate of a Point in Space


Distance Between Two Points


Section Formula


Know more about the same in Introduction to Three-Dimensional Geometry Class 11 notes pdf. 

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Introduction to Three-Dimensional Geometry Class 11 Math Formulae Part - 1

Introduction to Three-Dimensional Geometry Class 11 Math Formulae Part - 2