Let \({\mathrm{L}}_{1}:\frac{\mathrm{x}-1}{1}=\frac{\mathrm{y}-2}{-1}=\frac{\mathrm{z}-1}{2}\) and \({L}_{2}:\frac{\math…

Let \({\mathrm{L}}_{1}:\frac{\mathrm{x}-1}{1}=\frac{\mathrm{y}-2}{-1}=\frac{\mathrm{z}-1}{2}\) and \({L}_{2}:\frac{\mathrm{x}+1}{-1}=\frac{\mathrm{y}-2}{2}=\frac{\mathrm{z}}{1}\)be two lines. Let \(L_3\) be a line passing through the point \((\alpha ,\beta ,\gamma )\) and be perpendicular to both \(L_1\) and \(L_2\). If \(L_3\) intersects \({L}_1\), then \(|5\alpha -11\beta -8\gamma |\) equals :

[JEE Main 2025, 29 Jan (Shift 1)]