Mathematics

Problem

If the vectors

\vec{AB} = 3\hat{i} + 4\hat{k}

and

\vec{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 : [JEE (Main)-2013] (1)

\sqrt{18}

(2)

\sqrt{72}

(3)

\sqrt{33}

(4)

\sqrt{45}