The difference between Z1 and Z2 is -10 + 0i.
[tex]Z_{1} -Z_{2}[/tex] locates on the real axis.
Option B is correct.
What are complex numbers?
Complex numbers are the numbers that are expressed in the form of
a + ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = ([tex]\sqrt{-1}[/tex]). For example, 2 + 3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
From the graph we can know
[tex]Z_{1} (-5,2) = -5 +2i[/tex]
[tex]Z_{2} (5,2) = 5 +2i[/tex]
The difference between Z1 and Z2 is [tex]Z_{1} -Z_{2}[/tex]
[tex]Z_{1} -Z_{2}[/tex] = (-5 + 2i) - (5 + 2i)
= -5 + 2i - 5 - 2i
= -10 + 0i
[tex]Z_{1} -Z_{2}[/tex] locates on the real axis.
Option B is correct.
Find out more information about complex numbers here
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