Answered: consider the helix…

consider the helix r(t)=⟨cos⁡(3t),sin⁡(3t),−2t⟩. Compute, at t=pi/6: find unit tangent vector, unit normal vector, unit binomial vector and the curvature.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.4: Applications

Problem 8EQ

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Question

consider the helix r(t)=⟨cos⁡(3t),sin⁡(3t),−2t⟩. Compute, at t=pi/6: find unit tangent vector, unit normal vector, unit binomial vector and the curvature.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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