Vector

A vector is a quantity that has both

magnitude and direction.

E.g. of Vectors:

Velocity, force, displacement, electric field

intensity etc.

Basic Laws of Vector Algebra

Cartesian coordinate systems

Vector in Cartesian Coordinates

A vector in Cartesian Coordinates maybe

represented as

OR

A

zyx AAA ,,

A

zyx AzAyAx A

Vector in Cartesian Coordinates

Vector A has magnitude

A = |A| to the direction

of propagation.

Vector A shown may be

represented as

The vector A has three

component vectors, which

are Ax, Ay and Az.

zyx AzAyAx A

Laws of Vector Algebra stop

magnitude

Unit vector

magnitude

Unit vector

Example 1 : Unit Vector

Specify the unit vector extending from the origin

towards the point

1,2,2 G