Find the Cartesian and vector equations of the planes through the line of intersection of the planes

Find the Cartesian and vector equations of the planes through the line of intersection of the planes $\overrightarrow{\mathrm{r}} \cdot(\hat{\mathrm{i}}-\hat{\mathrm{j}})+6=0$ and $\overrightarrow{\mathrm{r}} \cdot(3 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-4 \hat{\mathrm{k}})=0$, which are at a unit distance from the origin.