If `A=|(a_1,a_2,a_3), (b_1,b_2,b_3), (c_1,c_2,c_3)|` and B=`|(x_1,x_2,x_3), (y_1,y_2,y_3),(z_1,z_2,z_3)|` then product of determinants A and B is given by AB=`|(a_1x_1+a_2x_2+a_3x_3, a_1y_1+a_2y_2+a_3y_3, a_1z_1+a_2z_2+a_3z_3), (b_1x_1+b_2x_2+b_3x_3, b_1y_1+b_2y_2+b_3y_3, b_1z_1+b_2z_2+b_3z_3), (c_1x_1+c_2x_2+c_3x_3, c_1y_1+c_2y_2+c_3y_3, c_1z_1+c_2z_2+c_3z_3)|` Now answer the following questions Value of determinant `|(1,cos(beta-alpha), cos(gamma-alpha)),(cos(alpha-beta), 1, cos(gamma-beta)),(cos(alpha-gamma), cos(beta-gamma),1)|` is (A) `cosalpha cosbeta cos gamma (B) `0` (C) `cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)` (D) `cos alpha+cosbeta+cosgamma`