Complex Numbers: What's My Rule?

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?

 

Steve Phelps

 
Resource Type
Activity
Tags
2015  complex  complex-numbers  mat  numbers 
Target Group (Age)
3 – 19+
Language
English
 
 
 
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