Question

No plano de Argand-Gauss representado ao lado, A e B são as respectivas imagens dos números complexos z1 e z2. Calcule as coordenas de z1 + z2 e z1 vezes z2

Answer 1

$\boxed{z_1=-2+4i}\\\\\boxed{z_2=3-3i}$

$z_1+z_2\\\\-2+4i+3-3i\\\\1+i\\\\\boxed{z_1+z_2\Rightarrow(1,1)}$

$z_1\cdot z_2\\\\(-2+4i)(3-3i)\\\\-6+6i+12-12i^2\\\\6+6i-12(-1)\\\\6+6i+12\\\\18+6i\\\\\boxed{z_1\cdot z_2\Rightarrow(18,6)}$