Two paths r 1 (t) and r 2 (t) intersect if there is a point P lying on both curves We say that r 1 (t) and r 2 (t) collide if r 1 (t 0 ) r 2 (t 0 ) at some time t 0 Determine whether r 1 (t) and r 2 (t) collide or intersect, giving the coordinates of the corresponding points if they exist r(t) ( 3,1 1,6t ) r2(t) (4t, 2t 2, 1 7)

Question: Two paths r 1 (t) and r 2 (t) intersect if there is a point P lying on both curves. We say that r 1

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 r₁(t) and r₂(t) collide or intersect, giving the coordinates of the corresponding points if they exist:

r(t) = (+ 3,1 + 1,6t-) r2(t) = (4t, 2t 2, 1-7) -

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