Two particles move along the spatial curves r1(t) = (t, t2, t3) and r2(t) = (1 + 2t, 1 + 6t, 1 + 14t). Do the particles collide? Do your trajectories intersect? In which points?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Two particles move along the spatial curves r1(t) = (t, t2, t3) and r2(t) = (1 + 2t, 1 + 6t, 1 + 14t). Do the particles collide? Do your trajectories intersect? In which points?

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