Question

1) Represente cada número complexo no plano.
a) Z = 2 + 3i
b) Z = - 2 – 2i
c) Z = 4i
d) Z = -3 + 2i

Answer 1

a) z= 2+3i

z.z= (2+3i).(2-3i)

z.z=4-6i+6i-9i^2

z.z=4-9^2

z.z=4-9(-1)

z.z=4+9

z.z= 13

b) z=-2-2i

z.z=(-2-2i).-2+2i)

z.z= 4-4i+4i-4i^2

z.z=4-4(-1)

z.z=4+4

z.z=8

c) z= 4i

z.z= 4i . (-4i)

z.z= -16i^2

z.z= -16(-1)

z.z=16

d) z=-3+2i

z.z= (-3+2i).(-3-2i)

z.z= 9+6i-6i-4i^2

z.z=9-4^2

z.z=9-4(-1)

z.z= 9+4

z.z= 13