Represent operations geometrically

What you'll learn

1. Represent complex addition and subtraction as vector operations (parallelogram rule) on the complex plane.
2. Represent complex conjugation as reflection across the real axis.
3. Describe complex multiplication geometrically as scaling by modulus and rotation by argument.
4. Use polar form to compute powers of complex numbers (applying the argument multiplication rule).

Prerequisites

• Add, subtract, and multiply complex numbers
• Represent complex numbers on the complex plane