RS Aggarwal Class 12 Fundamental Concepts of 3D Geometry PDF
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What are the Fundamental Concepts of 3D Geometry?
In 3D geometry, there are several fundamental concepts that are important to understand in order to work with 3D shapes and figures. Some of these concepts include:
- Points: In 3D geometry, a point is a location in space with no size or shape. It is represented by a set of coordinates (x, y, z) in a 3D coordinate system.
- Vectors: A vector is a mathematical object that has both a magnitude (length) and a direction. In 3D geometry, vectors are often used to represent translations, rotations, and other transformations of 3D shapes and figures.
- Planes: A plane is a flat surface that extends infinitely in all directions. In 3D geometry, planes can be represented by a set of three points or by a normal vector and a point on the plane.
- Line: A line is a one-dimensional object that extends infinitely in both directions. In 3D geometry, lines can be represented by a set of two points or by a point and a direction vector.
- Distance: Distance is a measure of the space between two points in 3D geometry. The distance between two points can be calculated using the distance formula, which is the square root of the sum of the squares of the differences between the x, y, and z coordinates of the two points.
- Angle: An angle is a measure of the amount of rotation between two lines or two planes. In 3D geometry, angles can be measured in degrees or radians.
- Polyhedrons: A polyhedron is a 3D shape with flat faces and straight edges. Examples of polyhedrons include cubes, tetrahedrons, and octahedrons.
- Surface Area and Volume: Surface area and volume are measures of the size of a 3D shape. In 3D geometry, formulas for calculating the surface area and volume of common 3D shapes like cubes, cylinders, spheres, etc are used.
These concepts are the base for understanding 3D geometry and it’s used in multiple fields like CAD, Computer Graphics, Robotics, etc.
Ch-26-Fundamental-Concepts-of-3D-GeometryRS Aggarwal Class 12 (All Chapters PDF)
| Chapter no. | chapter name | |
|---|---|---|
| 1 | Relations | Download |
| 2 | Functions | Download |
| 3 | Binary Operations | Download |
| 4 | Inverse Trigonometric Functions | Download |
| 5 | Matrices | Download |
| 6 | Determinants | Download |
| 7 | Adjoint and Inverse Of Matrix | Download |
| 8 | System of Linear Equations | Download |
| 9 | Continuity and Differentiability | Download |
| 10 | Differentiations | Download |
| 11 | Applications of Derivatives | Download |
| 12 | Indefinite Integrals | Download |
| 13 | Methods of integration | Download |
| 14 | Some Special integrals | Download |
| 15 | Integration using Partial Functions | Download |
| 16 | Definite integrals | Download |
| 17 | Area of Bounded Regions | Download |
| 18 | Differential equations and their formations | Download |
| 19 | Differential equations with variable separable | Download |
| 20 | Homogeneous Integral equations | Download |
| 21 | Linear Differential equations | Download |
| 22 | Vectors And Their Properties | Download |
| 23 | Scalar, or Dot product of Vectors | Download |
| 24 | Cross or vector products of Vector | Download |
| 25 | Product of three vectors | Download |
| 26 | Fundamental Concepts of 3D Geometry | Download |
| 27 | Straight Line in Space | Download |
| 28 | The Plane | Download |
| 29 | Probability | Download |
| 30 | Bayes’s Theorem and its Applications | Download |
| 31 | Probability Distribution | Download |
| 32 | Binomial Distributions | Download |
| 33 | Linear Programming | Download |