Question

Considere os números complexos: 1) z=-1 + 2i e z'=3 + 4i. Calcule z +z'. 2)z=1 + 4i e z'=2 + 2i.Calcule z-z' 3) z=2 + 2i e z'=1/2 + 3i.Calcule z.z'

Answer 1

1) z=-1 + 2i e z'=3 + 4i. Calcule z +z'.

z +z' = (-1+2i) + (3+4i)
z +z' = 2+6i


2)z=1 + 4i e z'=2 + 2i.Calcule z-z'

z-z' = (1+4i)-(2+2i)
z-z' = -1-2i


3) z=2 + 2i e z'=1/2 + 3i.Calcule z.z'

z.z' = (2 + 2i).(1/2 + 3i)

Aplicando a distributiva:

z.z' = 1 + 6i + i + 6i²
z.z' = 1 + 7i + 6.(-1)
z.z' = 1 -6 + 7i
z.z' = -5 + 7i


Abraços õ/