The curves ri(t) = (4t-t²,3t, ²-4) and r₂(t) = (4-t,t³ +8,5t) intersect at the point (3,9,5). If u and v are the tangent vectors of the two curves at this point, then find a vector perpendicular to u and v.
The curves ri(t) = (4t-t²,3t, ²-4) and r₂(t) = (4-t,t³ +8,5t) intersect at the point (3,9,5). If u and v are the tangent vectors of the two curves at this point, then find a vector perpendicular to u and v.
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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Transcribed Image Text:The curves ri(t) = (4t-t²,3t, ²-4) and r₂(t) = (4-t,t³ +8,5t) intersect
at the point (3,9,5). If u and v are the tangent vectors of the two curves at this point,
then find a vector perpendicular to u and v.
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