Complex multiplication, an interactive page

Up a level : Complex multiplication

On this page you can test your ability to quickly do complex multiplications.

On the page you have two points, a blue and a green, whose positions can be randomly selected using the Randomise key.   Then you have a pinkish dot that you can move around. The goal is to try to be as close to the product of the two numbers represented by the blue and green point as possible. When you think you know the position, click the Show button. You will then see the answer and get the distance between your guess and the correct answer. Try to get an error less than one.

Remember, multiply their moduli, their lengths, and add their arguments, their angles.

The unlock key allows you to move the blue and green points too. If you click Show now, then you can continuously see the product and thus explore how complex multiplication works.

Up a level : Complex multiplicationLast modified: Nov 2, 2025 @ 09:42