If `vec(E)_(1)` and `vec(E)_(2)` are electric field at axial point and equatorial point of an electric dipole, then
(1) ` vec(E)_(1).vec(E)_(2)gt 0` (2) `vec(E)_(1).vec(E)_(2)=0`
(3) `vec(E)_(1).vec(E)_(2)lt 0` (4) `vec(E)_(1)+vec(E)_(2)=vec(0)`

Explanation

To solve the problem, we need to analyze the electric fields at the axial point and the equatorial point of an electric dipole.

### Step-by-Step Solution:

1. **Understanding the Electric Fields**:
- The electric field at the axial point of a dipole (denoted as \( \vec{E}_1 \)) is given by the formula:
\[
\vec{E}_1 = \frac{2kp}{r^3}
...