The shortest distance between the lines $\overrightarrow{r}=(\hat{i}+\hat{j})+\lambda (2\hat{i}-\hat{j}+\hat{k})$ and $\overrightarrow{r}=(2\hat{i}+\hat{j}-\hat{k})+\mu (3\hat{i}-5\hat{j}+2\hat{k})$ is 

The equation of the Cartesian form of the plane $\overrightarrow{r}·(\hat{i}+\hat{j}-\hat{k})=2$ is 

Write the equation of the plane whose intercepts on the coordinate axes are $2,-4$ and $5$ respectively.