Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.

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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Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0.
(a) Find the vectors unit tangent vector T and unit normal vector N.
(b) Find the curvature.
(c) Find the binormal vector B.
(b) Find the torsion.
Transcribed Image Text:Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.
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