# Complex Numbers: What's My Rule?

- Author:
- Steve Phelps

- Topic:
- Complex Numbers, Numbers

Points A, B, and C are complex numbers. Point A is constrained to the Imaginary axis. Drag points A and B. Point C moves in response.
What is the rule that defines points C? Try to describe it geometrically and algebraically.
Is it possible to move A or B without moving C?
Is it possible to move A or B so point C is at the origin?
What happens to C when A is at the origin?
What happens to C when B is at the origin?
Is it possible to move A or B so point C moves along the Real axis?
Is it possible to move A or B so point C moves along the Imaginary axis?