The shortest distance between the lines \(\vec r=(\hat i+2\hat j+\hat k)+\lambda(\hat i-\hat j+\hat k)\) and \(\vec r=(2\hat i-\hat j-\hat k)+\mu(2\hat i+\hat j+2\hat k)\) is
A. \(3\sqrt2\)
B. \(\frac{2}{\sqrt3}\)
C. \(\frac{1}{\sqrt2}\)
D. \(\frac{3}{\sqrt2}\)