Complex number arithmetic and geometry
- Dr Adrian Jannetta
This applet is to show the relationship between arithmetic of complex numbers and the corresponding geometry on an Argand diagram. Click and drag the points and . Check or uncheck the arithmetic operations in the right-panel. In particular pay attention to the following:
- Addition and subtraction of complex numbers works like vector addition and subtraction in the plane.
- Multiplication: the new complex number can be obtained by adding the arguments (angles) and multiplying the moduli (lengths).
- Division: the new complex number can be obtained by subtracting the arguments (angles) and dividing the moduli (lengths).