Determine whether the lines

$L_1$:$\frac{x-11}{5}=\frac{y-11}{3}=\frac{z-14}{5}$

and

$L_2$:$\frac{x+16}{6}=\frac{y+8}{5}=\frac{z+17}{8}$

intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty.

The lines

Point of intersection: $1$

Hint:

Note: You can earn partial credit on this problem.