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A particle moves from position \( \overrightarrow{\mathrm{r}}_{\mathrm{i}}=3 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}-6 \hat{\mathrm{k}} \) to position \( \overrightarrow{\mathrm{r}}_{2}=14 \hat{\mathrm{i}}+13 \hat{\mathrm{j}}+9 \hat{\mathrm{k}} \) under the action of force
\( \mathrm{P} \)
WV \( 4 \hat{\mathrm{i}}+\hat{\mathrm{j}}+3 \hat{\mathrm{k}} \) N. The work done will be
(1) \( 100 \mathrm{~J} \)
(2) \( 50 \mathrm{~J} \)
(3) \( 200 \mathrm{~J} \)
(4) \( 75 \mathrm{~J} \)
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