Let O be the origin and the position vector of A and B be 2\(\hat{i}\) + 2\(\hat{j}\) + \(\hat{k}\) and 2\(\hat{i}\) + 4\(\hat{j}\) + 4\(\hat{k}\) respectively. If the internal bisector of ∠AOB meets the line AB at C, then the length of OC is
1
\(\frac{2}{3}\)\(\sqrt{31}\)
2
\(\frac{2}{3}\)\(\sqrt{34}\)
3
\(\frac{3}{4}\)\(\sqrt{34}\)
4
\(\frac{3}{2}\)\(\sqrt{31}\)