question_answer

A particle moves from position \[\overset{\to }{\mathop{{{\mathbf{r}}_{\mathbf{1}}}=3\mathbf{\hat{i}}}}\,+2\mathbf{\hat{j}}-6\mathbf{\hat{k}}\]to  position \[\overset{\to }{\mathop{{{\mathbf{r}}_{2}}=14\mathbf{\hat{i}}}}\,+13\mathbf{\hat{j}}+9\mathbf{\hat{k}}\] under action of force\[\overset{\to }{\mathop{{{\mathbf{F}}_{2}}=4\mathbf{\hat{i}}}}\,+\mathbf{\hat{j}}+3\mathbf{\hat{k}}\,\text{N}\text{.}\]The work done will be:

A)  100 J                                    

B)  50 J  

C)  200 J                    

D)         75 J