# Class 12 Maths Formula for chapter-11 Three dimensional Geometry

#### Math Formulas

This page is prepared by an expert faculty member of Physics Wallah, we have carefully selected all-important formulas and equations of chapter 3-D and uploaded the pdf of the formula sheet for class 12th maths chapter 3-D. Students and aspirants can download the free pdf of the class 12th maths chapter 3-D formula sheet.

That consist of all important formula of chapter 3-D very useful for quick revision and helpful to retain all important formula for long time. physics wallah prepared **NCERT Solutions** for reference use try to solve questions from exercise with the help of **NCERT Solutions for Class 12 Maths** prepared by physics wallah.

Students can also access the **Three Dimensional Geometry** from here and if any students need to take the online test to check their concepts or undertstanding then they can visit **Quiz for Three Dimensional Geometry.**

## Frequently Asked Question (FAQs)

**Q1. What is the formula for three-dimensional?**

**Ans.** To accomplish these goals, we begin by adapting the distance formula to three-dimensional space. d=√(x2−x1)2+(y2−y1)2. The formula for the distance between two points in space is a natural extension of this formula.

**Q2. What is section formula in 3D geometry?**

**Ans.** ( mx_{ 2} − nx_{ 1} m − n , my _{2} − ny_{ 1} m − n , mz_{ 2} − nz_{ 1} m − n ) This represents the section formula for three dimension geometry.

**Q3. How many exercises are there in 3D geometry class 12?**

**Ans.** Class 12 Maths Chapter 11 Three Dimensional Geometry has 36 questions in 3 exercises. Practicing these questions ensures an accurate and clear understanding of this topic. Students can also plan systematic learning of the various topics covered in this chapter.

**Q4. Is 3D geometry difficult?**

**Ans.** Three Dimensional Geometry is a topic of immense importance and many students find it difficult to understand conceptually. The reason is that a lot is left to the student's imagination and the human brain finds it difficult to imagine 3D structures.

**Q5. Why is space 3 dimensional?**

**Ans. **Space has three dimensions because the length of a box is independent of its width or breadth. In the technical language of linear algebra, space is three-dimensional because every point in space can be described by a linear combination of three independent vector.

**Q6. What are the topics in 3D geometry?**

**Ans.** Important Topics of Three Dimensional Geometry Class 11 and 12

- Coordinate of a point in space, distance formula.
- Direction cosine and Direction ratio.
- The angle between two intersecting lines.
- Skew lines and the shortest distance between two lines.
- Equation of line and plane.
- The intersection of line and plane

**Q7. How do you find XYZ coordinates?**

**Ans.** The distance formula states that the distance between two points in xyz-space is the square root of the sum of the squares of the differences between corresponding coordinates. That is, given P_{1} = (x_{1},y_{1},z_{1}) and P_{2} = (x_{2},y_{2},z_{2}), the distance between P_{1} and P_{2} is given by d(P_{1},P_{2}) = (x_{2} x_{1})^{2} + (y_{2} y_{1})^{2} + (z_{2} z_{1})^{2}.

**Download the Pdf Class 12 Maths formula sheet for chapter-11 Three dimensional Geometry**