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Mathematics
Mathematics
Problem
Let
z
z
z
and
w
w
w
be two non-zero complex numbers, such that
∣
z
∣
=
∣
w
∣
|z| = |w|
∣
z
∣
=
∣
w
∣
and
amp
(
z
)
+
amp
(
w
)
=
π
\text{amp}(z) + \text{amp}(w) = \pi
amp
(
z
)
+
amp
(
w
)
=
π
, then find the relation between
z
z
z
and
w
w
w
.
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