A) \[2\,\mathbf{b}-\mathbf{a}\]
B) \[\mathbf{b}-\mathbf{a}\]
C) \[2\,\mathbf{a}-\mathbf{b}\]
D) \[\mathbf{a}+\mathbf{b}\]
Correct Answer: A
Solution :
As in figure \[\overrightarrow{AB}=\mathbf{a},\] \[\overrightarrow{BC}=\mathbf{b},\] so \[\overrightarrow{AD}=2\mathbf{b}\] and \[\overrightarrow{ED}=\mathbf{a}\]. Now, \[\overrightarrow{AE}+\overrightarrow{ED}=\overrightarrow{AD}\Rightarrow \overrightarrow{AE}=\overrightarrow{AD}-\overrightarrow{ED}=2\mathbf{b}-\mathbf{a}.\]You need to login to perform this action.
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