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

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

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) = (4t+4,2t+2, 3t+4), for oo<t<∞ R(s) = (s +3,3s-1,-4s+8), for -∞o<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 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+4,2t+2, 3t+4), for oo<t<∞ R(s) = (s +3,3s-1,-4s+8), for -∞o<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 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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