A) 2
B) 3
C) 4
D) 6
Correct Answer: B
Solution :
By triangle law, \[\overrightarrow{AB}=\overrightarrow{AD}-\overrightarrow{BD},\] \[\overrightarrow{AC}=\overrightarrow{AD}-\overrightarrow{CD}\] Therefore, \[\overrightarrow{AB}+\overrightarrow{AC}+\overrightarrow{AD}+\overrightarrow{AE}+\overrightarrow{AF}\] = \[3\overrightarrow{AD}+(\overrightarrow{AE}-\overrightarrow{BD})+(\overrightarrow{AF}-\overrightarrow{CD})=3\overrightarrow{AD}\] Hence \[\lambda =3\], [Since \[\overrightarrow{AE}=\overrightarrow{BD,}\,\overrightarrow{AF}\,=\overrightarrow{CD}]\].You need to login to perform this action.
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