Adding complex numbers

From Graphic maths
Level: A Level Maths

To add two complex numbers, you must add the real and imaginary parts separately.

Example

Suppose we have two complex numbers:

To add them, we add the real and imaginary parts, like this:

Vector interpretation

Here are the complex numbers , , and their sum , shown as vectors on an Argand diagram.

Complex-add1.png

The position of can be found by adding the two vectors for and , as shown below:

Complex-add2.png

See also