A) \[\sqrt{14}\]
B) \[\sqrt{18}\]
C) \[\sqrt{29}\]
D) 4
Correct Answer: B
Solution :
\[\overrightarrow{AD}=\frac{(-3+5)\hat{i}+(0-2)\hat{j}+(4+4)\hat{k}}{2}\] |
\[=\frac{2\hat{i}-2\hat{j}+8\hat{k}}{2}=\hat{i}-\hat{j}+4\hat{k}\] |
\[\therefore \] length of median |
\[=\left| \overrightarrow{AD} \right|=\sqrt{{{\left( 1 \right)}^{2}}+{{\left( -1 \right)}^{2}}+{{\left( 4 \right)}^{2}}}=\sqrt{18}\] |
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