Question

Dados complexos z1 = –1–3i, z2 = 2i e z3 = 1–i

a) z1 –z3
b) z1 ·z2 ·z3

Answer 1

B) z1.z2.z3

Explicação passo-a-passo:

Bons estudos ❤

Answer 2

Explicação passo-a-passo:

a)

$z_{1}- z_{3}=(-1-3i)-(1-i)\\\\z_{1}- z_{3}=-1-3i-1+i\\\\\boxed{\boxed{z_{1}- z_{3}=-2-2i}}$

b)

$z_{1}.z_{2}.z_{3}=(-1-3i).(2i).(1-i)\\\\z_{1}.z_{2}.z_{3}=(-2i-6i^{2} ).(1-i)\\\\z_{1}.z_{2}.z_{3}=(-2i-6.(-1) ).(1-i)\\\\z_{1}.z_{2}.z_{3}=(-2i+6 ).(1-i)\\\\z_{1}.z_{2}.z_{3}=-2i.1-2i.(-i)+6.1+6.(-i)\\\\z_{1}.z_{2}.z_{3}=-2i+2i^{2}+6-6i\\\\z_{1}.z_{2}.z_{3}=6+2.(-1)-8i\\\\z_{1}.z_{2}.z_{3}=6-2-8i\\\\\boxed{\boxed{z_{1}.z_{2}.z_{3}=4-8i}}$