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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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Question

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

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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