Three Dimensional Geometry: JEE Main 2023 Mathematics question

If the shortest distance between the line joining the points (1, 2, 3) and (2, 3, 4), and the line ${{x - 1} \over 2} = {{y + 1} \over { - 1}} = {{z - 2} \over 0}$ is $\alpha$, then 28$\alpha^2$ is equal to ____________.