A) \[2\Delta \]
B) \[4\Delta \]
C) \[3\Delta \]
D) \[5\Delta \] (where D denotes the area of \[\Delta ABC\])
Correct Answer: B
Solution :
Let \[A\] be the origin and let the position vectors of \[B,\,C\] and \[D\] be \[\mathbf{b},\,\mathbf{c}\] and \[\mathbf{d}\] respectively. Then \[\overrightarrow{AB}=\mathbf{b},\] \[\overrightarrow{CD}=\mathbf{d}-\mathbf{c},\] \[\overrightarrow{BC}=\mathbf{c}-\mathbf{b},\] \[\overrightarrow{AD}=\mathbf{d},\] \[\overrightarrow{CA}=-\mathbf{c}\] and \[\overrightarrow{BD}=\mathbf{d}-\mathbf{b}.\]You need to login to perform this action.
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