AS/A2
Pure 5
Pure 6
P4
Topic 3:
Complex numbers
Multiplication of complex numbers
This Argand diagram shows how complex numbers
a
and
b
are multiplied to produce the complex number
f
.
Summary
the Argand diagram illustrates
a
x
b
=
f
, where
a
,
b
and
f
are complex numbers
if
a
= c + d
i
and
b
= e + f
i
, then
f
=
a
x
b
= (ce-df) + (cf+de)
i
The
Plane Graphic Calculator
java applet