Let \(a, b, c \in R \) be all non- zero and satisfy \( a^{3}+b^{3}+c^{3}=2 \). If the matrix \(A=\left(\begin{array}{lll…

Let \(a, b, c \in R \) be all non- zero and satisfy \( a^{3}+b^{3}+c^{3}=2 \). If the matrix \(A=\left(\begin{array}{lll}a & b & c \\b & c & a \\c & a & b\end{array}\right)\)

satisfies \( \mathrm{A}^{\mathrm{T}} \mathrm{A}=\mathrm{I} \), then a value of \(abc\) can be :

[JEE Main 2020, 2 Sep (Shift 2)]