Find the product of the two numbers, (7+2i) and (3+5i). Plot this point on your graph and find the magnitude and direction of the product.
a. What relationship do you notice between the magnitude of the product and the magnitude of the original numbers? Is this relationship true if one of the numbers is not in the first quadrant? Test more points as necessary.
b. What relationship do you notice between the directions of your original numbers and the product? Test more points as necessary.