14 Multiplication of Complex Numbers in Polar Form

This video explores how to multiply two complex numbers in polar form. Animations are given to illustrate the important ideas.
Detailed solutions of the following examples are given:
1. Use polar forms of the complex numbers z1=-1+√3i and z2=3√3-3i
to evaluate:
(a) z1z2 (b) z1 squared
The viewer is encouraged to attempt these questions before watching the solutions.
Previous videos in this series are:
01 What is a Complex Number?
02 Adding, Subtracting and Multiplying Complex Numbers
03 Dividing Complex Numbers
04 Complex Conjugates
05 The Field of Complex Numbers
06 The Complex Plane
07 The Modulus of a Complex Number
08 Distance on the Complex Plane
09 Properties of the Modulus of a Complex Number
10 Complex Numbers and the Unit Circle
11 The Polar Form of a Complex Number
12 The Principal Argument of a Complex Number
13 The Geometrical Effect of Multiplying by a Complex Number

Key words: Complex multiplication, modulii, modulus, argument, principal value, mutiplicative, additive, polar form, π/3, π/4, π/2, cosø+isinø, Argand diagram,
M337, Open University, Unit A1, complex analysis