Graphing Multiplication of Complex Numbers
Explore this graphical representation of the multiplication of complex numbers.
Exploration Questions:
Algebraically solve the multiplication of the complex numbers A and B and compare your answer to the complex number C.
What is the relationship between the "Rotation of A," the "Rotation of B," and the to the "Rotation of C?"
What do I mean by "new unit," the "new real axis," and the "new imaginary axis?"
How is the "New Real Axis" and the "New Imaginary Axis" helpful in finding the complex number C?
What do the last three sliders (near the end of the instructions on the applet) do?
How do the last three sliders relate to the complex number B and the rotation of B?
(Limitation to be aware of: In order to include all of the features this has I had to create a limitation on what the complex number B could be. For the complex number B the real and the imaginary part have to be positive numbers. However, for clarification, the complex number A can have positive or negative numbers for the real and imaginary parts.)