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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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