Question: Here are two paths r1(t) and r2(t) intersect if there is a point P lying on both curves. We say that r1(t) and r2(t) collide

Here are two paths r1(t) and r2(t) intersect if there is a point P lying on both curves. We say that r1(t) and r2(t) collide if r1(t0) = r2(t0) at some time t0.
Determine whether rj and r2 collide or intersect:
rj(t) = (t2 + 3,t + 1,6t-1)
r2(t) = (4t, 2t - 2,t2 - 7)

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