Let L_1: (x-1)/1=(y-2)/-1=(z-1)/2 and L_2: (x+1)/-1=(y-2)/2=z/1 be two lines. Let L_3 be a line passing through the point (α, β, γ) and be…

Let $\displaystyle \mathrm{L}_1: \frac{x-1}{1}=\frac{y-2}{-1}=\frac{z-1}{2}$ and $\displaystyle \mathrm{L}_2: \frac{x+1}{-1}=\frac{y-2}{2}=\frac{z}{1}$ be two lines. Let $\displaystyle \mathrm{L}_3$ be a line passing through the point $\displaystyle (\alpha, \beta, \gamma)$ and be perpendicular to both $\displaystyle \mathrm{L}_1$ and $\displaystyle \mathrm{L}_2$. If $\displaystyle \mathrm{L}_3$ intersects $\displaystyle \mathrm{L}_1$, then $\displaystyle |5 \alpha-11 \beta-8 \gamma|$ equals :