## Adding and Subtracting Complex Numbers

Complex numbers can be written as vectors. The addition and subtraction properties of multiples of complex numbers are then inherited from the addition and subtraction properties of multiples of vectors.

We can write the complex numberas the vectorand the complex numberas the vector

Then

It follows then thatThis is shown on the Argand diagram below.

In fact, the addition and subtraction of multiples of complex numbers can also be considered an algebraic property.