A thin hollow spherical glass shell of radius 0.17 m carries a uniformly distributed positive charge +6 x 10^-9 C, as shown in the figure below. To the right of it is a horizontal permanent dipole with charges +Q = 8 x 10^-11 and -Q = -8 x 10^-11 C separated by a distance s = 5 x 10^-5 m (the dipole is shown greatly enlarged for clarity). The dipole is fixed in position and is not free to rotate. The distance from the center of the glass shell to the center of the dipole is r = 0.7 m. (Assume the +x direction is to the right, the +y direction is upward, and the +z direction is out of the page.)
(a) Calculate the net electric field at the center of the glass shell. (Express your answer in vector form.)
(b) If the sphere were a solid metal ball with a charge +6 x 10^-9 C, what would be the net electric field at its center? (Express your answer in vector form.)