The magnitude of the projection of the vector \(2 \hat{i}+\hat{j}+\hat{k}\) on the vector perpendicular to the plane containing the vectors \(\hat{i}+\hat{j}+\hat{k}\) and \(\hat{i}+\hat{2j}+\hat{3k}\) is
1
\(\frac{2}{\sqrt{6}}\)
2
\(\frac{1}{\sqrt{6}}\)
3
\(\frac{5}{\sqrt{6}}\)
4
\(\frac{7}{\sqrt{6}}\)