# 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

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