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Consider the following lines. r(t) = (3t+3,5t +4, 5t+5), for -∞0

Consider the following lines. r(t) = (3t+3,5t +4, 5t+5), for -∞0

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.5: Use The Slope–intercept Form Of An Equation Of A Line
Problem 4.111TI: Use slopes to determine if the lines 5x+4y=1 and 4x+5y=3 are perpendicular.
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Consider the following lines. r(t) = (3t+3,5t + 4,5t + 5), for oo<t<∞ R(s) = (s+2, 2s+2, -5s + 10), for -∞<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. A. The lines intersect at (6,9,10). (Simplify your answer. Type an ordered triple.) O B. The lines do not intersect.
Transcribed Image Text:Consider the following lines. r(t) = (3t+3,5t + 4,5t + 5), for oo<t<∞ R(s) = (s+2, 2s+2, -5s + 10), for -∞<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. A. The lines intersect at (6,9,10). (Simplify your answer. Type an ordered triple.) O B. The lines do not intersect.
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