If $\overrightarrow {OA}=\hat i+3\hat j-2\hat k\:\:and\:\:\overrightarrow {OB}=3\hat i+\hat j-2\hat k$ and $C$ is a point of $AB$ so that $\overrightarrow {OC}$ bisects the angle $AOB$, then $\overrightarrow {OC}=?$

Question

$\begin{array}{1 1}(a)\:4\hat i+4\hat j-4\hat k\:\:\qquad\:(b)\:2\hat i+2\hat j-2\hat k\:\:\qquad\:(c)\:\hat i+\hat j-\hat k\:\:\qquad\:(d)\:None\:of\:these \end{array} $