A) \[\frac{\mathbf{a}}{4}-\frac{\mathbf{b}}{4}\]
B) \[\frac{\mathbf{a}}{2}-\frac{\mathbf{b}}{2}\]
C) \[\frac{\mathbf{b}}{4}-\frac{\mathbf{a}}{4}\]
D) \[\frac{\mathbf{b}}{2}-\frac{\mathbf{a}}{2}\]
Correct Answer: D
Solution :
We know by fundamental theorem of proportionality that \[\overrightarrow{DE}=\frac{1}{2}\overrightarrow{BC}\] In triangle, \[\overrightarrow{BC}=\mathbf{b}-\mathbf{a}\]; Hence, \[\overrightarrow{DE}=\frac{1}{2}(\mathbf{b}-\mathbf{a})\].You need to login to perform this action.
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