A) 20
B) 40
C) 50
D) 30
E) 35
Correct Answer: B
Solution :
Work done, \[W=\overrightarrow{F}.d\overrightarrow{s}\] \[=({{\overrightarrow{F}}_{1}}+{{\overrightarrow{F}}_{2}}).({{\overrightarrow{s}}_{2}}-{{\overrightarrow{s}}_{1}})\] \[=\{(4\hat{i}+\hat{j}-3\hat{k})+(3\hat{i}+\hat{j}-\hat{k})\}\] \[\{(5\hat{i}+4\hat{j}+\hat{k})-(\hat{i}+2\hat{j}+3\hat{k})\}\] \[=(7\hat{i}+2\hat{j}-4\hat{k}).(4\hat{i}+2\hat{j}-2\hat{k})\] \[=28+4+8=40\text{ }J\]
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