Complex Number Addition on the Argand Plane

This video demonstrates complex number addition using vectors on the complex plane.

Suppose that we have a complex number...

z = 5 - i

And we have another complex number...

w = 2 + 3i

And we want to find the addition of...

The first step is we want to represent 2z on the complex plane

2z = 2(5 - i) = 10 - 2i

So the coordinates of 2z on the complex plane are (10, -2) - we can represent this by drawing a vector from the origin to this coordinate.

Now the complex conjugate of w is...

And its coordinates are (2, -3). And again we can represent this with a vector from the origin to that coordinate.

Now, the addition of two complex numbers is exactly the same process as addition of vectors.

Please watch the video for the full tutorial!