Step 1: Understanding the Concept:
The electric field of a dipole at points on its axis (axial line) and on its perpendicular bisector (equatorial line) has specific directions relative to the dipole moment vector \( \vec{p} \).
: Detailed Explanation:
- Point P lies on the axis of the dipole. The field at an axial point is always in the direction of the dipole moment (\( \vec{p} \)), which is parallel to the axis.
- Point Q lies on the equatorial line (perpendicular bisector). The field at an equatorial point is opposite to the direction of the dipole moment, which is still parallel to the geometric line defining the axis.
In both cases, the field vector lies along a line that is parallel to the dipole axis.
Step 3: Final Answer:
The intensity is parallel to the axis at both points P and Q.