An electric dipole of moment \(\vec{p}=(-\hat{i}-3 \hat{j}+2 \hat{k}) \times 10^{-29}\) C.m. is at the origin \((0,0,0)\…

An electric dipole of moment \(\vec{p}=(-\hat{i}-3 \hat{j}+2 \hat{k}) \times 10^{-29}\) C.m. is at the origin \((0,0,0)\). The electric field due to this dipole at \(\vec{r}=(+\hat{i}+3 \hat{j}+5 \hat{k})\) (note that \(\vec{r} \cdot \vec{p}=0)\) is parallel to

[JEE Main 2020, 9 Jan (Shift 1)]