# NCERT Class 12 Maths Solution

## NCERT Solutions for Class 12 Maths

**CHAPTER-10: VECTOR ALGEBRA**

**Vectors – summary**: Vectors and scalars, magnitude and direction of a vector.Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors.

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**Chapter 10: Vector Algebra**

Did you recognize that quantities that involve only 1 value (magnitude), that may be a real number are call scalars? Whereas, quantities that involves magnitude and direction are referred to as Vectors. within the chapter vector algebra, you may be learning regarding some basic ideas of vectors, numerous operations on vectors, and their algebraic as well as geometric properties.

The topics and sub-topics in **Chapter 10 Vector Algebra**

10.1 **Introduction**

10.2 **Some Basic Concepts**

10.3 **Types of Vectors**

10.4 **Addition of Vectors**

10.5 **Multiplication of a Vector by a Scalar**

10.5.1 **Components of a vector**

10.5.2 **Vector joining two points**

10.5.3 **Section formula**

10.6 **Product of Two Vectors**

10.6.1 **Scalar (or dot) product of two** **vectors**

10.6.2 **Projection of a vector on a line**

10.6.3 **Vector (or cross) product of two vectors**