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# Electric field in a region is given by $\overrightarrow E= (2 \hat i +3 \hat j -4 \hat k) V/m.$ Find the potential difference between points $(0, 0, 0)$ and $(1, 2, 3).$

Potential difference across the points $= – \overrightarrow{E} \Delta \overrightarrow{r}$
$V_2-v_1=-(2 \hat i +3 \hat j-4 \hat k) .(\hat i +2 \hat j +3 \hat k)$
$\qquad= -2-6+12$
$\qquad=4 volts$
Hence D is the correct answer.