Complex Numbers

Complex numbers indicate rotation.

Imagine an aeroplane moving with a velocity of 5m/s.

Now suddenly lets say the aeroplane rotated and started moving skywards.

Its new velocity in this direction can be now given as 5i

Now consider a plane which is taking off. Such a plane has a horizontal as well as a vertical velocity.

Lets say the plane is moving forward with a velocity of 4m/s and is moving upwards with a velocity of 3m/s.

The net velocity is thus given by 4+3i.</p

4+3i means the plane is moving in the forward direction (real plane) at a velocity of 3m/s and moving in the upward direction (imaginary plane) at a speed of 4m/s.

If the plane is moving completely horizontally…..then it has no vertical or imaginary component.

Eg a plane moving with a velocity of 8 forwards.

If the plane is moving completely verticaly on the otherv hand…it only has a vertical component with no horizontal component at all.
Eg. The plane moving with a velocity of 8i..(upwards with a velocity of 8 ).