Consider the helix r(t)=(cos(2t),sin(2t),−4t)r(t)=(cos⁡(2t),sin⁡(2t),−4t). Compute, at t=π6t: A. The unit tangent vector T=? B. The unit normal vector N=? C. The unit binormal vector B=? D. The curvature κ=?

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 helix r(t)=(cos(2t),sin(2t),−4t)r(t)=(cos⁡(2t),sin⁡(2t),−4t). Compute, at t=π6t:

A. The unit tangent vector T=?

B. The unit normal vector N=?

C. The unit binormal vector B=?

D. The curvature κ=?

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