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

Question

$\begin{array}{1 1} (1) \sqrt{18} \\ (2) \sqrt {72} \\ (3) \sqrt{33} \\ (4) \sqrt{45} \end {array}$