Answer
Skew
Work Step by Step
$x=1+2t,y=2+3t,z=3+4t$ ..(1)
and
$x=-1+6s,y=3-s,z=-5+2s$ ...(2)
Equate equations (1) and (2), we have
$t=-1+3s$ and $s=\frac{2}{5}$
Thus, $t=-1+3(\frac{2}{5})$
$t=\frac{1}{5}$
Therefore, $3+4(\frac{1}{5})=-5+2(\frac{2}{5})$
$\frac{19}{5}\ne-\frac{21}{5}$
Hence the lines do not intersect so they are skew.