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The displacement of a charge Q in the el...

The displacement of a charge Q in the electric field `vec(E) = e_(1)hat(i) + e_(2)hat(j) + e_(3) hat(k)` is `vec(r) = a hat(i) + b hat(j)`. The work done is

A

`Q(ae_(1)+be_(2))`

B

`Q sqrt((ae_(1))^(2)+(be_(2))^(2))`

C

`Q(e_(1)+e_(2))sqrt(a^(2)+b^(2))`

D

`Q(sqrt(e_(1)^(2)+e_(2)^(2)))(a+b)`

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The correct Answer is:
A
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