Let \( a, b, c \) be three non-zero complex numbers, and let \[ z=\...

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Let \( a, b, c \) be three non-zero complex numbers, and let
\[
z=\left|\begin{array}{ccc}
0 & -b & -c \\
b & 0 & -a \\
c & a & 0
\end{array}\right|
\]
then \( z \) equals
(a) 0
(b) purely imaginary
(c) \( a b c \)
(d) \( 2 a b c \)
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