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Consider the following lines. r(t) = (4t-1,4t - 1,2t+3), for -∞

Consider the following lines. r(t) = (4t-1,4t - 1,2t+3), for -∞

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.2: Points, Lines, And Their Graphs
Problem 5E
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Question
Consider the following lines. r(t) = (4t-1,4t - 1,2t+3), for -∞<t<∞ R(s) = (s +3, 4s+3, -2s+5), for -∞o<S<∞0 a. Determine whether the lines intersect (have a common point) and if so, find the coordinates of that point. b. If r and R describe the paths of two particles, do the particles collide? Assume t20 and s 20 measure time in seconds. a. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. O A. The lines intersect at (Simplify your answer. Type an ordered triple.) O B. The lines do not intersect.
Transcribed Image Text:Consider the following lines. r(t) = (4t-1,4t - 1,2t+3), for -∞<t<∞ R(s) = (s +3, 4s+3, -2s+5), for -∞o<S<∞0 a. Determine whether the lines intersect (have a common point) and if so, find the coordinates of that point. b. If r and R describe the paths of two particles, do the particles collide? Assume t20 and s 20 measure time in seconds. a. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. O A. The lines intersect at (Simplify your answer. Type an ordered triple.) O B. The lines do not intersect.
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