A) \[\overrightarrow{DE}\]
B) \[3\,\overrightarrow{DE}\]
C) \[2\,\overrightarrow{DE}\]
D) \[4\,\overrightarrow{ED}\]
Correct Answer: B
Solution :
\[A,\,B,\,C,\,D,\,E\] are five co-planar points. \[\overrightarrow{DA}+\overrightarrow{DB}+\overrightarrow{DC}+\overrightarrow{AE}+\overrightarrow{BE}+\overrightarrow{CE}\] =\[(\overrightarrow{DA}+\overrightarrow{AE})+(\overrightarrow{DB}+\overrightarrow{BE})+(\overrightarrow{DC}+\overrightarrow{CE})\] = \[\overrightarrow{DE}+\overrightarrow{DE}+\overrightarrow{DE}\]=\[3\overrightarrow{DE}.\]You need to login to perform this action.
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