Determine whether ${\bf r}_1$ and ${\bf r}_2$ collide or intersect:
${\bf r}_1(t)=\left< t,t^2,t^3 \right> \qquad {\bf r}_2(t)=\left< 5t+4.33333, 36t^{2}, -64 \right>$

The two paths
A. collide
B. do not collide

The two paths
A. intersect
B. do not intersect