# Vector Algebra For Class 12

Vector algebra for class 12 i.e. NCERT maths chapter 10 includes various important concepts from this topic like vector types, operations, etc. In this lesson, the key points that are covered from this class 12 vector algebra chapter include vector introduction, types of vectors, and operations on vectors like addition.

## Vector Algebra Introduction

In this world, there are various quantities, which involves muscular strength (magnitude) as well as direction. Such quantities are known as Vector Quantities. Eg. Displacement, velocity, acceleration, force, weight, momentum, electric intensity etc.

### Position Vector:

The position vector is given with respect to the origin O, (0,0,0), where the coordinate of point (say P) is given as (x,y,z) is given as-

$\overline{OP} = \sqrt{x^{2} + y^{2} + z^{2}}$

## Types of Vectors

The various type of vectors which include-

(i) Zero Vector

(ii) Unit Vector

(iii) Coinitial Vectors

(iv) Collinear Vectors

(v) Equal Vectors

(vi) Negative of a Vector

Consider a vector AB and vector BC, where the starting of sector vector is same as the end of the first vector, then the sum of two vectors is represented by a vector joining two vectors AC.

$\overline{AC} = \overline{AB} + \overline{BC}$

This is known as the triangle law of vector addition and is essentially used to find the geometrical sum of two or more vectors.

### Additional Class 12 Vector Algebra Materials

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#### Practise This Question

The following diagram shows parallel lines cut by a transversal. Find x.