Three Dimensional Geometry

The shortest distance (in units) between the lines \(\frac{x+1}{3}=\frac{y+2}{1}=\frac{z+1}{2}\) and \(\bar{r}=(2 \hat{i}-2 \hat{j}+3 \hat{k})+\lambda(\hat{i}+2 \hat{j})\) is