Two particles travel along the space curves r 1 (t) = (t, t 2 , t 3

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Two particles travel along the space curves 

r1 (t) = (t, t2, t3) r2 (t) = (1 + 2t, 1 + 6t, 1 + 14t)
Do the particles collide? Do their paths intersect?

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