Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Statement 1 - $L_1:\frac{x+1}{3}=\frac{y+2}{1}=\frac{z+1}{2}$ and $L_2:\frac{x-2}{1}=\frac{y+2}{2}=\frac{z-3}{3}$. The unit vector perpendicular to both $L_1$ and $L_2$ is $\frac{-\hat{i}-7\hat{j}+5\hat{k}}{5\sqrt{3}}$.

Statement 2 - The distance of the point $(1,1,1)$ from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines $L_1$ and $L_2$ is $\frac{23}{5\sqrt{3}}$.