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
-
44:37
TheGetCanceledPodcast
3 hours agoThe GCP Ep. 8 | Mr.Wraptors Talks Global Business, New Locations, Working with Celebrities & More
6.78K4 -
2:00:24
LFA TV
8 hours agoSubverting the West | WHISTLEBLOWERS with AVA CHEN 8/31/24 12pm
36K23 -
1:04:02
I_Came_With_Fire_Podcast
13 hours ago"Exposing Political Corruption: Marine Combat Veteran's Fight for Truth in Politics"
25.5K11 -
8:01
PISANITY
21 hours agoShoplifting Because They Legalized It
31.8K31 -
1:31:23
Game On!
16 hours ago $19.90 earned6000 Follower Celebration Stream! New Merch Store Opened As Well!
49.7K14 -
17:48
PioneerPauly
23 hours agoThe Best Highbanking Video Ever Made!
56K25 -
9:50
ThinkStory
1 day agoTHE DELIVERANCE Ending Explained & Real Haunting!
55.1K4 -
20:32
Bearing
1 day ago"I Help Pick The Men My WIFE Dates" | Defeated Husband Humiliated By Wife
58.7K63 -
1:00:19
Trumpet Daily
1 day ago $14.21 earnedKamala Isn’t ‘Flip-Flopping,’ She’s Lying - Trumpet Daily | Aug. 30, 2024
45.5K20 -
5:05
Gamazda
1 day ago $12.00 earnedDebussy - Clair de Lune
46.3K33