Particle 1 starts at point (3, 1, 1) and particle 2 starts at point (10,5,-4); at t = 0, both particles begin to move along linear paths. After 1 second, particle 1 is at point (4, 3, 4) and particle 2 is at (8, 6, 3). (a) Do the paths of the particles intersect? Show all work. (b) Will the particles collide? Show all work.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Hello Can you help me solve this problem with the parts because I am struggling trying to solve this question and the parts. Can you me show me how to do this step by step so I can understand it 

Particle 1 starts at point (3, 1, 1) and particle 2 starts at point (10, 5, -4); at t = 0, both
particles begin to move along linear paths. After 1 second, particle 1 is at point (4, 3, 4) and particle 2
is at (8, 6, 3).
(a) Do the paths of the particles intersect? Show all work.
(b) Will the particles collide? Show all work.
Transcribed Image Text:Particle 1 starts at point (3, 1, 1) and particle 2 starts at point (10, 5, -4); at t = 0, both particles begin to move along linear paths. After 1 second, particle 1 is at point (4, 3, 4) and particle 2 is at (8, 6, 3). (a) Do the paths of the particles intersect? Show all work. (b) Will the particles collide? Show all work.
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