# 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.

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 P1 = (x1,y1,z1) and P2 = (x2,y2,z2), the distance between P1 and P2 is given by d(P1,P2) = (x2 x1)2 + (y2 y1)2 + (z2 z1)2.

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