A) \[2\mathbf{a}-3\mathbf{b}\]
B) \[\overrightarrow{AC}\,\,+\,\,\overrightarrow{AF}\,\,-\,\overrightarrow{AB}\]
C) \[\overrightarrow{AC}\,\,+\,\,\overrightarrow{AB}\,\,-\,\,\overrightarrow{AF}\]
D) None of these
Correct Answer: B
Solution :
Obviously, \[\overrightarrow{AE}=\overrightarrow{AC}+\overrightarrow{CD}+\overrightarrow{DE}\] \[=\overrightarrow{AC}+\overrightarrow{AF}-\overrightarrow{AB}\], \[\left\{ \,\because \,\,\overrightarrow{CD}=\overrightarrow{AF}\,\text{and}\,\overrightarrow{DE}=-\overrightarrow{AB} \right\}\].You need to login to perform this action.
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