A Body is displaced from rA→=(2i^+3j^−6k^) to rB→=(6i^−3j^+2k^) under a constant force F→=(2i^+3j^−k^). The work done is

S¯=rB→−rA→=4i^−6j^+8k^ w=F→⋅S→=(2i^+3j^−k^)⋅(4i^−6j^+8k^)=8−18−8=−18J

A Body is displaced from rA→=(2i^+3j^−6k^) to rB→=(6i^−3j^+2k^) under a constant force F→=(2i^+3j^−k^). The work done is

S¯=rB→−rA→=4i^−6j^+8k^ w=F→⋅S→=(2i^+3j^−k^)⋅(4i^−6j^+8k^)=8−18−8=−18J

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A Body is displaced from $\vec{r_{A}} = (2 \hat{i} + 3 \hat{j} - 6 \hat{k})$ to $\vec{r_{B}} = (6 \hat{i} - 3 \hat{j} + 2 \hat{k})$ under a constant force $\vec{F} = (2 \hat{i} + 3 \hat{j} - \hat{k})$ . The work done is

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$\bar{S} = \vec{r_{B}} - \vec{r_{A}} = 4 \hat{i} - 6 \hat{j} + 8 \hat{k} \begin{array}{l} w = \vec{F} \cdot \vec{S} \\ = (2 \hat{i} + 3 \hat{j} - \hat{k}) \cdot (4 \hat{i} - 6 \hat{j} + 8 \hat{k}) \\ = 8 - 18 - 8 = - 18 J \end{array}$

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A Body is displaced from rA→=(2i^+3j^−6k^) to rB→=(6i^−3j^+2k^) under a constant force F→=(2i^+3j^−k^). The work done is

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A Body is displaced from $\vec{r_{A}} = (2 \hat{i} + 3 \hat{j} - 6 \hat{k})$ to $\vec{r_{B}} = (6 \hat{i} - 3 \hat{j} + 2 \hat{k})$ under a constant force $\vec{F} = (2 \hat{i} + 3 \hat{j} - \hat{k})$ . The work done is