For what value of the constant C is the vector field F = x2 i + C(xy + yz) j + z2 k. solenoidal? If C has that value, find a vector potential G for F having the form G(x, y, z) = G1(x, y, z) i + x2y k.
◦ C = 2, G = yz2 i + x2y k
◦ C = -2, G = xz2 i + x2y k
◦ C = -2, G = - yz2 i + x2y k
◦ C = -2, G = - xz2 i + x2y k
◦ C = -2, G = yz2 i + x2y k