Determine whether the lines
$L_1$: \(\vec{r}(t) = \langle 3, 1, -3 \rangle t + \langle 5, 3, 4 \rangle\) and
$L_2$: \(\vec{p}(s) = \langle 9, 3, -9 \rangle s + \langle 4, 5, 2 \rangle\)
intersect. If they do, find the point of intersection.
They intersect at the point
They are skew lines
They are parallel or equal