If `|((a_1 - a)^2,(a_1 - b)^2,(a_1 - c)^2),((b_1 - a)^2,(b_1 - b)^2,(b_1 - c)^2),((c_1 - a)^2,(c_1-b)^2,(c_1-c)^2)|=0` and if the vectors `vec alpha = (1, a, a^2), vec beta = (1,b,b^2),vec gamma=(1,c,c^2)` are non coplanar, show that the vectors `vec alpha_1 =(1,a,a_1^2) ,vec beta_1=(1,b_1,b_1^2),vec gamma_1=(1,c_1,c_1^2)` are coplanar.