This applet is to show the relationship between arithmetic of complex numbers and the corresponding geometry on an Argand diagram.[br][br]Click and drag the points [math]z_1[/math] and [math]z_2[/math]. Check or uncheck the arithmetic operations in the right-panel.[br][br]In particular pay attention to the following:[br][list][br][*]Addition and subtraction of complex numbers works like vector addition and subtraction in the plane.[br][*]Multiplication: the new complex number can be obtained by adding the arguments (angles) and multiplying the moduli (lengths).[br][*]Division: the new complex number can be obtained by subtracting the arguments (angles) and dividing the moduli (lengths).[br][/list][br]The order of subtraction and division obviously matters so only [math]z_1-z_2[/math] and [math]\frac{z_1}{z_2}[/math] are shown to stop the app getting too crowded.