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
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(a) By using $W = Q\,(\overrightarrow E .\Delta \overrightarrow {r\,} )$
$W = Q\,[({e_1}\hat i + {e_2}\hat j + {e_3}\hat k).(a\hat i + b\hat j)] = Q\,({e_1}a + {e_2}b)$
$W = Q\,[({e_1}\hat i + {e_2}\hat j + {e_3}\hat k).(a\hat i + b\hat j)] = Q\,({e_1}a + {e_2}b)$
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