Solve this following

Question:

If the vectors $\overrightarrow{\mathrm{AB}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{AC}}=5 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+4 \hat{\mathrm{k}}$ are the sides of a triangle $\mathrm{ABC}$, then the length of the median through $\mathrm{A}$ is :

  1. $\sqrt{18}$

  2. $\sqrt{72}$

  3. $\sqrt{33}$

  4. $\sqrt{45}$


Correct Option: , 3

Solution:

 

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