
As r⋅p=0, this means that r is perpendicular to p.
For an electric dipole, electric field at equatorial position is antiparallel to p.
⇒E=−λp,
where, λ is an arbitrary positive constant.
⇒E=−λ(−i^−3j^+2k^)×10−29Cm−2
⇒E=λ(i^+3j^−2k^)×10−29Cm−2
For λ=10−291
⇒E=(i^+3j^−2k^)Cm−2