If \(a_i^2 + b_i^2 + c_i^2 = 1,(i = \,1,2,3)\) and \(\,{a_i}{a_j} + {b_i}{b_j} + {c_i}{c_j} = 0, \ (i ≠ j, i, j = 1, 2, 3)\) then the value of \({\left| {\begin{array}{*{20}{c}} {{a_{_1}}}&{{a_2}}&{{a_3}}\\ {{b_1}}&{{b_2}}&{{b_3}}\\ {{c_1}}&{{c_2}}&{{c_3}} \end{array}} \right|^2}\)is