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If ai^2 + bi^2 + ci^2 = 1 ; i = 1, 2, 3 and aiaj + bibj + cicj = 0, then the value of determinant

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If ai2 + bi2 + ci2 = 1 ; i = 1, 2, 3 and aiaj + bibj + cicj = 0, then the value of determinant

\(\begin{vmatrix}a_1&b_2&c_3\\b_1&b_2&b_3\\c_1&c_2&c_3\end{vmatrix}\) is

(a) 1/2

(b) 0

(c) 2

(d) 1

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Correct option is (d) 1

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