Here we have the multiplication of two complex numbers.The two points [math]z_1[/math] and [math]z_2[/math] can be moved around.[br]The third point, [math]z_3[/math] , represents the product . (The unit circle is included for reference.)[br][br]What do you notice about the magnitude of [math]z_3[/math] in relation to the magnitude of [math]z_1[/math] and [math]z_2[/math]?[br][br]What do you notice about the measure of angle [math]\phi_3[/math] in relation to [math]\phi_1[/math] and [math]\phi_2[/math]?[br][br]Make a conjecture regarding the definition of complex multiplication!