Given z = 1 – i, which letter represents z3?
A
B
C
D

Iota is an imaginary unit number that is denoted by i and the value of iota is [tex]i=\sqrt{-1}[/tex]
Letter A represent [tex]z^{3}[/tex]
Given that, z = 1 - i
Now finding [tex]z^{3}[/tex] ,
[tex]z^{3}=(1-i)(1-i)(1-i)\\\\=(1+i^{2-2i} )(1-i)\\\\=1+i^{2}-3i-i^{3}+2i^{2}\\\\=1-1-3i+i-2\\\\=-2-2i[/tex]
In given diagram, it is observed that Point A is [tex]-2-2i[/tex].
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