Physics - Electrostatics Question with Solution | TestHub

$\mathrm{A}\left(q_1\right)\mathrm{ }\to \left(2,–\mathrm{1,3}\right)$

$\mathrm{B}\left(q_2\right)\to \left(\mathrm{0,0},0\right)$

${\overrightarrow{F}}_{\mathrm{B}\mathrm{A}}=\frac{k{q}_{\mathrm{A}}{q}_{\mathrm{B}}}{|\overrightarrow{r_{\mathrm{B}}}–\overrightarrow{r_{\mathrm{A}}}{|}^3}\left(\overrightarrow{r_{\mathrm{B}}}–\overrightarrow{r_{\mathrm{A}}}\right)$

$\overrightarrow{r_{\mathrm{A}}}=2\hat{\mathrm{i}}–\hat{\mathrm{j}}+3\hat{\mathrm{k}}$;$\overrightarrow{ r_{\mathrm{B}}}=0$

Putting all the values in the formula,

We get${\overrightarrow{F}}_{\mathrm{B}\mathrm{A}}=\frac{q_1{q}_2}{56\sqrt{14} \mathrm{\pi }{\epsilon }_0}\left(-2\hat{\mathrm{i}}+\hat{\mathrm{j}}–3\hat{\mathrm{k}}\right)$