Let a line passing through the point \( (4,1,0) \) intersect the line \( L_1:\; \dfrac{x-1}{2}=\dfrac{y-2}{3}=\dfrac{z-3}{4} \) at the point \( A(\alpha,\beta,\gamma) \) and the line \( L_2:\; x-6=y=-z+4 \) at the point \( B(a,b,c) \).
\( 12 \)
\( 6 \)
\( 16 \)
\( 8 \)
