Answer
a. No.
b. No.
Work Step by Step
a. Consider a point halfway between 2 equal and opposite charges, as in Figure 23.23b. The electric potential is zero there, but the electric field is nonzero, and points toward the negative charge.
b. Consider a point halfway between 2 positive charges, as in Figure 23.23c. The electric field is zero there, but the electric potential is positive.