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work done when a force $\vec{F} = (\hat{i} + 2 \hat{j} + 3 \hat{k}) N$ acting on a particle takes it from the point $\vec{r_{1}} = (\hat{i} + \hat{j} + \hat{k})$ to the point $\vec{r_{2}} = (\hat{i} - \hat{j} + 2 \hat{k})$ is:

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Correct option is B

W=F→⋅d→=(i^+2j^+3k^)⋅(−2j^+k^)=−4+3=−1J

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work done when a force F→=(i^+2j^+3k^)N acting on a particle takes it from the point r1→=(i^+j^+k^) to the point r2→=(i^-j^+2k^) is:

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work done when a force $\vec{F} = (\hat{i} + 2 \hat{j} + 3 \hat{k}) N$ acting on a particle takes it from the point $\vec{r_{1}} = (\hat{i} + \hat{j} + \hat{k})$ to the point $\vec{r_{2}} = (\hat{i} - \hat{j} + 2 \hat{k})$ is: