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A particle moves from position \( \vec{r}_{1}=6 \hat{i}+4 \hat{j}-12 \hat{k} \) to
\( \mathrm{P} \) position \( \vec{r}_{2}=12 \hat{i}+8 \hat{j}-6 \hat{k} \) under the action of force \( 4 \hat{i}+\hat{j}+3 \hat{k} N \). The work done by this force will be
(a) \( 46 \mathrm{~J} \)
(b) \( 50 \mathrm{~J} \)
(c) \( 200 \mathrm{~J} \)
(d) \( 75 \mathrm{~J} \)
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