Let C, be a curve defined by some vector function R with unit binormal B such that 3 Ř(0) = (-2,5, 4) , ř(7) = (4,0, 3) , and B(t) = (cos t, sin t,). (a) Find the equation of the osculating plane to C1 at t = 0. (b) Find the unit normal vector to C1 at t = r (c) Evaluate (R- BY(0).

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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Let C, be a curve defined by some vector function R with unit binormal B such that
3
Ř(0) = (–2, 5, 4) , Ř(7) = (4,0, 3) , and B(t)-
= (cos t, sin t,).
(a) Find the equation of the osculating plane to C1 at t = 0.
(b) Find the unit normal vector to C¡ at t = T
(c) Evaluate (R · BY(0).
Transcribed Image Text:Let C, be a curve defined by some vector function R with unit binormal B such that 3 Ř(0) = (–2, 5, 4) , Ř(7) = (4,0, 3) , and B(t)- = (cos t, sin t,). (a) Find the equation of the osculating plane to C1 at t = 0. (b) Find the unit normal vector to C¡ at t = T (c) Evaluate (R · BY(0).
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