Two charges, $+5.0\ \text{nC}$ and $-5.0\ \text{nC}$, sit $2.0\ \text{mm}$ apart and form a short dipole. Its moment $\vec p$ lies along the line from the negative charge to the positive one. A small probe measures the field at several points, all $10\ \text{cm}$ from the centre of the pair, which is far compared with the gap. The angle $\theta$ of each point is taken from the direction of $\vec p$. Nothing else is nearby, and each statement is about the field of the pair alone. Take $\dfrac{1}{4\pi\varepsilon_0} = 9.0 \times 10^{9}\ \text{N m}^2\,\text{C}^{-2}$. Which of the following statements are correct?