Vector Algebra For Class 12

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 include-

(i) Zero Vector

(ii) Unit Vector

(iii) Coinitial Vectors

(iv) Collinear Vectors

(v) Equal Vectors

(vi) Negative of a Vector

Addition of Vectors-

Vector Algebra For Class 12

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 vector is represented by a vector joining two vector AC.

\(\overline{AC} = \overline{AB} + \overline{BC}\)

This is known as the triangle law of vector addition.

Vector Algebra For Class 12

Practise This Question

 A =[0110]is an involutary matrix.