4. If two objects travel through space along two curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the following vector functions represent the trajectories of two particles. Do these particles collide? If not, do their paths intersect? (Assume t≥ 0.) (a) r₁(t) = (t², 7t 12, t²) and r₂(t) = (4t-3, t², 5t - 6) (b) p₁(t) = ti+t²j+t³k and p2(t) = (1 + 2t)i + (1 + 6t)j + (1 + 14t)k

4. If two objects travel through space along two curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the following vector functions represent the trajectories of two particles. Do these particles collide? If not, do their paths intersect? (Assume t≥ 0.) (a) r₁(t) = (t², 7t 12, t²) and r₂(t) = (4t-3, t², 5t - 6) (b) p₁(t) = ti+t²j+t³k and p2(t) = (1 + 2t)i + (1 + 6t)j + (1 + 14t)k

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Description: 4. If two objects travel through space along two curves, it's often important to know whetherthey will collide. (Will a missile hit its moving target? Will two aircraft collide?) Thecurves might intersect, but we need to know whether the objects are

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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