A particle is moved from a position \( \vec{r}_{1}= \) \( (3 \hat{\...

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A particle is moved from a position \( \vec{r}_{1}= \) \( (3 \hat{\imath}+2 \hat{\jmath}-6 \hat{k}) \) metre to a position \( \vec{r}_{2}= \) \( (14 \hat{\imath}+13 \hat{\jmath}-9 \hat{k}) \) metre under the action of a force \( \overrightarrow{\mathrm{F}}=(4 \hat{\imath}+\hat{\jmath}+3 \hat{k}) \mathrm{N} \)
The work done is equal to:
(1) \( 32 \mathrm{~J} \)
(2) \( 64 \mathrm{~J} \)
(3) \( 96 \mathrm{~J} \)
(4) \( 46 \mathrm{~J} \)
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