Two paths r 1 (t) and r 2 (t) intersect if there is a point P lying

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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:

ri(t) = (t,t,1), r2(t) = (4t+ 6, 41,7-t)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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