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Consider the following lines. r(t) = (3t+1, 3t+2, 6t-1), for -∞

Consider the following lines. r(t) = (3t+1, 3t+2, 6t-1), for -∞

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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Consider the following lines. r(t) = (3t+1, 3t+2, 6t − 1), for − ∞ <t<∞ R(s) = (s+ 4,2s +5, -4s+5), for -∞<S<∞ 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 t≥0 and s≥0 measure time in seconds. a. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. OA. The lines intersect at . (Simplify your answer. Type an ordered triple.) OB. The lines do not intersect. b. Choose the correct answer below. A. rand R describe the paths of two particles and the particles do not collide. OB. rand R describe the paths of two particles and the particles collide. OC. rand R do not describe the paths of two particles and the particles do not collide. D. r and R do not describe the paths of two particles and the particles collide.
Transcribed Image Text:Consider the following lines. r(t) = (3t+1, 3t+2, 6t − 1), for − ∞ <t<∞ R(s) = (s+ 4,2s +5, -4s+5), for -∞<S<∞ 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 t≥0 and s≥0 measure time in seconds. a. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. OA. The lines intersect at . (Simplify your answer. Type an ordered triple.) OB. The lines do not intersect. b. Choose the correct answer below. A. rand R describe the paths of two particles and the particles do not collide. OB. rand R describe the paths of two particles and the particles collide. OC. rand R do not describe the paths of two particles and the particles do not collide. D. r and R do not describe the paths of two particles and the particles collide.
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