Two particles travel along the space curves r(t)and u(t). A collision will occur at the point of intersection if both particles are at P at the same time. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.) r(t) = ti + (9t - 20)j + t²k u(t)= (3t+ 4)i + tj + (5t - 4)k point of intersection (x, y, z) = ( Do the particles collide? Yes O No Do their paths intersect? O Yes O No |)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 25RE
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Two particles travel along the space curves r(t)and u(t). A collision will occur at the point of intersection if both particles are at P at the same time. (If an answer does not
exist, enter DNE. Enter your answers as a comma-separated list.)
r(t) = ti + (9t - 20)j + t²k
u(t)= (3t+ 4)i + t2j+ (5t - 4)k
point of intersection (x, y, z) = (
Do the particles collide?
Yes
O No
Do their paths intersect?
O Yes
O No
Transcribed Image Text:Two particles travel along the space curves r(t)and u(t). A collision will occur at the point of intersection if both particles are at P at the same time. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.) r(t) = ti + (9t - 20)j + t²k u(t)= (3t+ 4)i + t2j+ (5t - 4)k point of intersection (x, y, z) = ( Do the particles collide? Yes O No Do their paths intersect? O Yes O No
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