An electric dipole with dipole moment P oriented in the positive direction of z-axis is located at the origin of a three dimensional coordinate system. Find the projections of electric field `E_(x)` and `E_(y)` of the electric field strength vector at a point `P(r, theta)`. Aslo find out the angle `theta` at which electric field vector is perpendicular to the dipole moment.
`[(P)/(4piin_(0)r^(3))(3cos^(3)theta-1),(3p sinthetacostheta)/(4piin_(0)r^(3)),cos^(-1)((1)/(sqrt(3)))]`