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Let a, b, \( c \in R \) be all non- zero and satisfy \( a^{3}+b^{3}+c^{3}=2 \). If the matrix
P
\[
A=\left(\begin{array}{lll}
a & b & c \\
b & c & a \\
c & a & b
\end{array}\right)
\]
W)
satisfies \( \mathrm{A}^{\mathrm{T}} \mathrm{A}=\mathrm{I} \), then a value of abc can be :
[JEE Main-2020 (September)]
(a) 3
(b) \( \frac{1}{3} \)
(c) \( -\frac{1}{3} \)
(d) \( \frac{2}{3} \)
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