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 number
as
the vector
and
the complex number
as
the vector
Then
It follows then that
This
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.
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