The displacement of a charge Q in the electric field \[E={{e}_{1}}\hat{i}+{{e}_{2}}\hat{j}+{{e}_{3}}\hat{k}\] is \[\hat{r}=a\hat{i}+b\hat{j}\]. The work done is [EAMCET (Engg.) 2000]

• A.            \[Q(a{{e}_{1}}+b{{e}_{2}})\]
• B.                                      \[Q\sqrt{{{\left( a{{e}_{1}} \right)}^{2}}+{{\left( b{{e}_{2}} \right)}^{2}}}\]
• C.            \[Q({{e}_{1}}+{{e}_{2}})\sqrt{{{a}^{2}}+{{b}^{2}}}\]
• D.                                      \[Q(\sqrt{e_{1}^{2}+e_{2}^{2})}\ (a+b)\]