What is a vector Quantity ( Define Vector,examples, properties and applications)

What is a vector Quantity ?

Any Physical quantity which has both magnitude and direction, such as velocity, acceleration or force,are called vector quantity.

A vector represented either geometrically by an arrow whose length corresponds to it's magnitude and the point shows it's direction.

A free vector has magnitude and direction but no fixed position in space.

Examples for Vectors:

Displacement,Velocity, Acceleration, Force, Momentum, Gravitational force,Torque, Energy, Electric field, magnetic field etc.

Notation and it's application:

If 'v' represents a vector, the magnitude of this vector is represented as mod(v)

Vectors are useful to indicate position in the space with direction and magnitude.