The displacement of a charge Q in the electric field $\mathrm{E}={\mathrm{e}}_1\hat{\mathrm{i}}+{\mathrm{e}}_2\hat{\mathrm{j}}+{\mathrm{e}}_3\hat{\mathrm{k}}\text{ is }\hat{\mathrm{r}}=\mathrm{a}\hat{\mathrm{i}}+\mathrm{b}\hat{\mathrm{j}}$. The work done is

• A

  $\mathrm{Q}\left({\mathrm{ae}}_1+{\mathrm{be}}_2\right)$

• B

  $\mathrm{Q}\sqrt{{\left({\mathrm{ae}}_1\right)}^2+{\left({\mathrm{be}}_2\right)}^2}$

• C

  $\mathrm{Q}\left({\mathrm{e}}_1+{\mathrm{e}}_2\right)\sqrt{{\mathrm{a}}^2+{\mathrm{b}}^2}$

• D

  $\mathrm{Q}\left(\sqrt{\left.{\mathrm{e}}_1^2+{\mathrm{e}}_2^2\right)}(\mathrm{a}+\mathrm{b})\right.$