This worksheet illustrates complex multiplication and division in polar form.

[list=1] [*] Move [color=#0000ff][math]z[/math][/color] and [color=#0000ff][math]w[/math][/color], and see what happens to [color=#006400][math]zw[/math][/color] and [color=#660099][math]z/w[/math][/color]. [*] Compare [color=#0099cc][math]\arg(z)[/math][/color], [color=#7d7dff][math]\arg(w)[/math][/color], [color=#006400][math]\arg(zw)[/math][/color] and [color=#660099][math]\arg(z/w)[/math][/color]. What relationships can you find between them? [*] Similarly, compare [color=#ff0000][math]|z|[/math][/color], [color=#ff0000][math]|w|[/math][/color], [color=#ff9933][math]|zw|[/math][/color] and [color=#ff33cc][math]|z/w|[/math][/color]. How are they related? [/list]