Let λ_1, λ_2 be the values of λ for which the points (5/2, 1, λ) and (-2,0,1) are at equal distance from the plane 2 x+3 y-6 z+7=0. If λ_1>λ_2, then…

Let $\displaystyle \lambda_1, \lambda_2$ be the values of $\displaystyle \lambda$ for which the points $\displaystyle \left(\frac{5}{2}, 1, \lambda\right)$ and $\displaystyle (-2,0,1)$ are at equal distance from the plane $\displaystyle 2 x+3 y-6 z+7=0$. If $\displaystyle \lambda_1>\lambda_2$, then the distance of the point $\displaystyle \left(\lambda_1-\lambda_2, \lambda_2, \lambda_1\right)$ from the line $\displaystyle \frac{x-5}{1}=\frac{y-1}{2}=\frac{z+7}{2}$ is $\displaystyle \_\_\_\_$.