2. (10 points) Given F(x, y, z) = [axz+y², bxy + cyz, x² + y²], find the values of a, b, c such that the line
integral over the vector function F is path independent in the 3D space. Evaluate the integral(s) along
C where C with initial point A(0,0,0), and terminal point B(8,9,7).