Processing Math: Done

Aus Online Mathematik Brückenkurs 2

One way to determine the magnitude is to calculate the product (3−4i)(3+2i) and then to take the magnitude of the result, but for products we have that

zw=zw

and we can take the magnitude of the factors 3−4i and 3+2i and then multiply the magnitudes together,

(3−4i)(3+2i)=3−4i3+2i=32+(−4)232+22=9+169+4=2513=513.