A) \[-(3\widehat{i}+4\widehat{k})\]
B) \[-(4\widehat{i}+3\widehat{k})\]
C) \[3\widehat{i}+4\widehat{j}\]
D) \[2\widehat{i}-3\widehat{k}\]
Correct Answer: A
Solution :
Three forces \[\vec{A},\vec{B},\vec{C}\]are acting on a body which is in equilibrium position, then \[\vec{A}+\vec{B}+\vec{C}=0\] \[\Rightarrow \] \[(\hat{i}+\hat{j}+\hat{k})+(2\hat{i}-\hat{j}+3\hat{k})+\vec{C}=0\] or \[(3\hat{i}+4\hat{k})+\vec{C}=0\] \[\therefore \] \[\vec{C}=-(3\hat{i}+4\hat{k})\]You need to login to perform this action.
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