The vectors \(\overrightarrow {AB} = 3 \hat i + 4 \hat k\) and \(\overrightarrow {AC} = 5\hat i - 2\hat j + 4\hat k\) are the sides of a triangle ABC. The length of the median through A is,

1
\(\sqrt {18} \)
2
\(\sqrt {72} \)
3
\(\sqrt {33} \)
4
\(\sqrt {288} \)

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