Home All Definitions Algebra Pre-Calculus Argand Plane Definition

Argand Plane Definition

The argand plane otherwise known as the complex plane, z-plane or gauss plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis. In simpler terms, it is a coordinate plane used to graph complex numbers. It can be thought of as a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis. Accordingly the x-axis is called the real axis and the y-axis is called the imaginary axis.

The concept of the argand plane allows a geometric interpretation of complex numbers. Under addition, they add like vectors. The multiplication of two complex numbers can be expressed most easily in polar coordinates which is the magnitude or modulus of the product is the product of the two absolute values, or moduli, and the angle or argument of the product is the sum of the two angles, or arguments. Multiplication by a complex number of modulus 1 acts as a rotation.

Related Definitions

Sources

“Complex Plane.” Wikipedia, Wikimedia Foundation, 28 Apr. 2020, en.wikipedia.org/wiki/Complex_plane.

×

App

Check out our free app for iOS & Android.

For more information about our app visit here!

Add to Home Screen

Add Math Converse as app to your home screen.

App

Check out our free desktop application for macOS, Windows & Linux.

For more information about our desktop application visit here!

Browser Extension

Check out our free browser extension for Chrome, Firefox, Edge, Safari, & Opera.

For more information about our browser extension visit here!

Welcome to Math Converse

Placeholder

Placeholder

Cite This Page

QR Code

Take a photo of the qr code to share this page or to open it quickly on your phone:

Share

Print
Copy Link
Cite Page
Email
Facebook
𝕏
WhatsApp
Reddit
SMS
Skype
Line
Google Classroom
Google Bookmarks
Facebook Messenger
Evernote
Telegram
Linkedin
Pocket
Douban
WeChat
Trello
QR Code
×