1.Let a,b,c∈Ra, b, c \in \mathbb{R}a,b,c∈R be all non-zero and satisfy a3+b3+c3=2a^3 + b^3 + c^3 = 2a3+b3+c3=2. If the matrix A=(abcbcacab)A = \begin{pmatrix} a & b & c \\ b & c & a \\ c & a & b \end{pmatrix}A=abcbcacab satisfies ATA=IA^T A = IATA=I, then a value of abcabcabc can be:a.−13-\dfrac{1}{3}−31b.13\dfrac{1}{3}31c.13\dfrac{1}{\sqrt{3}}31d.23\dfrac{2}{3}32Login to continueOnly logged in users canattempt or see the solution.