Expert Tutors
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
