Two point charges \(q_1 = 2.5 \times 10^{-7}\,\text{C}\) and \(q_2 = -2.5 \times 10^{-7}\,\text{C}\) are located at points \((0, 0, -15\,\text{cm})\) and \((0, 0, 15\,\text{cm})\) respectively. Find:
(a) the electric dipole moment of the system, and
(b) the magnitude and direction of the electric field at the origin \((0, 0, 0)\).