If Q = 11 - 5i, E = 3 - 2i, and D = 2i, find QED.
Q·E + (11 - 5i)·(3 - 2i) = (11)(3) + (11)(-2i) + (-5i)(3) + (-5i)(-2i)
= 33 - 22i - 15i +10i2
= 33 - 22i - 15i - 10
= 23 - 37i
(QE)·D = (23 - 37i)·(2i) = (23)(2i) + (-37i)(2i) = 46i + 74