If the lines r =( i - j + k )+λ(3 j - k ) and r =(α i - j )+μ(2 i -3 k ) are coplanar, then the distance of the plane containing these two lines from…

If the lines $\displaystyle \vec{r}=(\hat{i}-\hat{j}+\hat{k})+\lambda(3 \hat{j}-\hat{k})$ and $\displaystyle \vec{r}=(\alpha \hat{i}-\hat{j})+\mu(2 \hat{i}-3 \hat{k})$ are coplanar, then the distance of the plane containing these two lines from the point $\displaystyle (\alpha, 0,0)$ is: