The distance of the point (-1,2,3) from the plane r ·( i -2 j +3 k )=10 parallel to the line of the shortest distance between the lines r =( i - j…

The distance of the point $\displaystyle (-1,2,3)$ from the plane $\displaystyle \vec{r} \cdot(\hat{i}-2 \hat{j}+3 \hat{k})=10$ parallel to the line of the shortest distance between the lines $\displaystyle \vec{r}=(\hat{i}-\hat{j})+\lambda(2 \hat{i}+\hat{k})$ and $\displaystyle \vec{r}=(2 \hat{i}-\hat{j})+\mu(\hat{i}-\hat{j}+\hat{k})$ is