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Mathematics
Problem
7. Let
z
1
=
2
−
i
,
z
2
=
−
2
+
i
z_{1}=2-i, z_{2}=-2+i
z
1
=
2
−
i
,
z
2
=
−
2
+
i
. Find (i)
Re
(
z
1
z
2
z
ˉ
1
)
\operatorname{Re}\left(\frac{z_{1} z_{2}}{\bar{z}_{1}}\right)
Re
(
z
ˉ
1
z
1
z
2
)
, (ii)
Im
(
1
z
1
z
ˉ
1
)
\operatorname{Im}\left(\frac{1}{z_{1} \bar{z}_{1}}\right)
Im
(
z
1
z
ˉ
1
1
)
.
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