In this lecture we looked at how to multiply two complex numbers and found that this leads to an output that has been both rotated and scaled in some way.

We used the FOIL method that we learnt in an earlier section but discovered that this will lead to some additional work to remove the i^2 term that appears.

So instead, we found a more compact formula that we could use to find both the real and imaginary parts of our answer in a nice clean way.

Did the result of multiplying two complex numbers act as you expected?