An electric dipole is formed from \(\pm 1.0 \mathrm{nC}\) point charges spaced \(2.0 \mathrm{~mm}\) apart The dipole is centered at the origin, oriented along the \(y\)-axis. What is the electric field strength at the points

(a) \((x, y)=(10 \mathrm{~mm}, 0 \mathrm{~mm})\) and

(b) \((x, y)=\) \((0 \mathrm{~mm}, 10 \mathrm{~mm})\) ?