Multiplication of complex numbers

[size=150]The applet above shows the result (z[sub]3[/sub] ) of multiplying the complex numbers z[sub]1[/sub] and z[sub]2[/sub] together. [br][br]The sliders control the [b]magnitude[/b] of the complex numbers z[sub]1 [/sub]and z[sub]2 .[br][br][/sub]What [b]geometrical interpretation [/b]would [color=#cc0000][b]YOU[/b][/color] give for multiplication of one complex number by another based on what you can see above?[br][br][/size][size=150]Fully [b]EXPLAIN [/b]your conclusions...![/size]

Information: Multiplication of complex numbers