A) \[\sqrt{18}\]
B) \[\sqrt{72}\]
C) \[\sqrt{33}\]
D) \[\sqrt{288}\]
Correct Answer: C
Solution :
Given vectors are \[\overrightarrow{AB}=3\hat{i}+4\hat{k}\] and \[\overrightarrow{AC}=5\hat{i}-2\hat{j}+4\hat{k}\] Equation of median, \[\overrightarrow{AD}=\frac{\overrightarrow{AB}+\overrightarrow{AC}}{2}=\frac{(3\hat{i}+4\hat{k})+(5-2\hat{j}+4\hat{k})}{2}\] \[=4\hat{i}-\hat{j}+4\hat{k}\] \[\therefore \] Length of median, \[|\overrightarrow{AD}|=\sqrt{{{(4)}^{2}}+{{(-1)}^{2}}+{{(4)}^{2}}}\] \[\sqrt{16+1+16}=\sqrt{33}\]You need to login to perform this action.
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