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Two particles move in space, so that at each instant the vector position of each particle, A and B, is given respectively by (image). Determine the initial position of particles A and B. Do the particles collide at any point in time? If so, determine the position in which this happens.

Two particles move in space, so that at each instant the vector position of each particle, A and B, is given respectively by (image). Determine the initial position of particles A and B. Do the particles collide at any point in time? If so, determine the position in which this happens.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Two particles move in space, so that at each instant the vector position of each particle, A and B, is given respectively by (image). Determine the initial position of particles A and B.

Do the particles collide at any point in time? If so, determine the position in which this happens.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
TA(t) = 2t i + (8t – 7) 3+ (5 – 4ť²) k TB(t) = (t² – 1) i + (5t + 1) j+ (t – 6) k
Transcribed Image Text:TA(t) = 2t i + (8t – 7) 3+ (5 – 4ť²) k TB(t) = (t² – 1) i + (5t + 1) j+ (t – 6) k
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