Two particles are traveling through space. At time t the first particle is at the point (-3+ 3t, 2 – t, 4 – 2t) and the second particle is at (-7+t, 8+ 2t, 14 + 3t) Describe the two paths in words. Then determine if the two particles collide, cross, or neither cross nor collide to fill in the following. We see that the paths cross, and the particles collide there If they collide or their paths cross, indicate where (if neither is true, enter none). A collision or crossing occurs at (x, y, z)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 48E
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Two particles are traveling through space. At time t the first particle is at the point
(-3+ 3t, 2 – t, 4 – 2t)
and the second particle is at
(-7+t,8+ 2t, 14 + 3t)
Describe the two paths in words. Then determine if the two particles collide, cross, or neither cross nor collide to fill in the following.
We see that the paths cross, and the particles collide there
If they collide or their paths cross, indicate where (if neither is true, enter none).
A collision or crossing occurs at (x, y, z) =
Transcribed Image Text:Two particles are traveling through space. At time t the first particle is at the point (-3+ 3t, 2 – t, 4 – 2t) and the second particle is at (-7+t,8+ 2t, 14 + 3t) Describe the two paths in words. Then determine if the two particles collide, cross, or neither cross nor collide to fill in the following. We see that the paths cross, and the particles collide there If they collide or their paths cross, indicate where (if neither is true, enter none). A collision or crossing occurs at (x, y, z) =
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