Consider the following vector function. r(t) 5t, (a) Find the unit tangent and unit normal vectors T(t) and N(t). 1 5,t,2t > T(t) = 25 + 512 1 <-5t,5,10 > N(t) = 5 2 + 5 (b) Use this formula to find the curvature. 1 2 +5 K(t) = 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the following vector function.
r(t)
5t,
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
5,t,2t >
T(t) =
25 + 512
1
<-5t,5,10>
N(t) =
5 2 + 5
(b) Use this formula to find the curvature.
1
2 + 5
K(t) =
3
2
Transcribed Image Text:Consider the following vector function. r(t) 5t, (a) Find the unit tangent and unit normal vectors T(t) and N(t). 5,t,2t > T(t) = 25 + 512 1 <-5t,5,10> N(t) = 5 2 + 5 (b) Use this formula to find the curvature. 1 2 + 5 K(t) = 3 2
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