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Let \( a, b, c \) be three real numbers such that \( 0a, b \), \( c1 \). Let
\[
\Delta=\left|\begin{array}{ccc}
a & b & c \\
\sqrt{1-a^{2}} & \sqrt{1-b^{2}} & \sqrt{1-c^{2}} \\
b c & c a & a b
\end{array}\right|
\]
then \( \Delta \) equals
(a) 0
(b) \( a b c \)
(c) \( a \sqrt{1-a^{2}}+b \sqrt{1-b^{2}}+c \sqrt{1-c^{2}} \)
(d) none of these.
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