All the quantities with its magnitude and direction are called vectors. For example, force, velocity, acceleration of a body, etc. Vector quantities are denoted by capital letter with an arrow sign.

Force, F can be represented byF ⃗

Velocity, v can be represented byv ⃗

Acceleration, a can be represented bya ⃗

**Magnitude and Direction of Vector Quantities**

Magnitude of vector quantities always gives positive value where the negative sign indicates the direction.

**For example,**

Magnitude of 50 is 50 and for –50 is |– 50| = 50

Direction of 50 and –50 are opposite

Suppose any vector quantity is multiplied by a scalar quantity m. The magnitude of the product will be ordinary and direction of the product will be same as the direction of vector quantity.

**Unit Vector:**

Those vector quantities which have unit length are known as unit vectors. Mathematically, it can be written as-

Unit Vector = Force Vector/ Magnitude

**Links of Previous Main Topic:-**

- Fluid statics introduction
- Manometers measurement pressure
- Fluid kinematics
- Bernoullis equation
- Basics and statics of particles introduction
- Units and dimensions

**Links of Next Mechanical Engineering Topics:-**

- Resolution and composition of a force
- Coplanar forces
- Resultant of coplanar forces
- Equilibrium of a particle
- Equilibrium of a rigid body
- Forces in space
- Equilibrium of a particle in space
- Equivalent system of forces
- Principle of transmissibility
- Single equivalent force
- Highlights of basics and statics of particles
- Equilibrium of rigid bodies introduction