Question

Considere os seguintes números complexos z1+=10+2i, z2=5-3i e z3= -9+5 e calcule a)z1+z2= b) z2xz3=​

Answer 1

Explicação passo-a-passo:

a)

$z_{1} +z_{2}=(10+2i)+(5-3i)\\\\z_{1} +z_{2}=10+5+2i-3i\\\\z_{1} +z_{2}=15-i$

b)

$z_{2} .z_{3}=(5-3i).(-9+5i)\\\\z_{2} .z_{3}=5.(-9)+5.5i-3i.(-9)-3i.5i\\\\z_{2} .z_{3}=-45+25i+27i-15i^{2} \\\\z_{2} .z_{3}=-45-15.(-1)+52i\\\\z_{2} .z_{3}=-45+15+52i\\\\z_{2} .z_{3}=-30+52i$