A magnetic dipole is aligned in the north-south direction. Suppose...

Let the magnetic dipole be placed at the origin with its dipole moment $\vec{M}$ directed along the North direction ($\hat{j}$).

Points $P_1$ and $P_2$ are located at equal distances $d$ towards North and South respectively. These points lie on the axial line of the dipole. The magnetic field at any point on the axial line is parallel to the dipole moment.

$\vec{B}_{P_1} = \dfrac{\mu_0}{4\pi} \dfrac{2M}{d^3} \hat{j}$

$\vec{B}_{P_2} = \dfrac{\mu_0}{4\pi} \dfrac{2M}{d^3} \hat{j}$

The magnetic field at $P_1$ and $P_2$ are identical in direction.

Points $Q_1$ and $Q_2$ are located at equal distances $d$ towards East and West respectively. These points lie on the equatorial line of the dipole. The magnetic field at any point on the equatorial line is antiparallel to the dipole moment.

$\vec{B}_{Q_1} = -\dfrac{\mu_0}{4\pi} \dfrac{M}{d^3} \hat{j}$

$\vec{B}_{Q_2} = -\dfrac{\mu_0}{4\pi} \dfrac{M}{d^3} \hat{j}$

The magnetic field at $Q_1$ and $Q_2$ are also identical in direction.