A) 8 unit
B) 9 unit
C) 10 unit
D) 11 unit
Correct Answer: D
Solution :
Given, forces\[{{\vec{F}}_{1}}=2\hat{i}-\hat{j},{{\vec{F}}_{2}}=3\hat{i}+2\hat{j}-\hat{k}\] acting on a particle when it displaced from the point \[3\hat{i}+2\hat{j}+\hat{k}\]to \[5\hat{i}+5\hat{j}+3\hat{k}.\] i.e., its displacement \[\vec{d}=2\hat{i}+3\hat{j}+2\hat{k}\] \[\therefore \] \[W=\vec{F}.\vec{d}\] \[=({{\vec{F}}_{1}}+\vec{F}{{ & }_{2}}).\vec{d}\] \[=(5\hat{i}+\hat{j}-\hat{k}).(2\hat{i}+3\hat{j}+2\hat{k})\] \[=10+3-2\] \[\Rightarrow \] \[W=11\,\]unit.
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