Answered: Find the unit tangent vector and the…

Find the unit tangent vector and the equations of the tangent line to the curve R(t) = (2sint, t, 2cost) at the point (0, π, -2)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 32EQ

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Question

3)
and
-2, 1,
Find the unit tangent vector and the equations of the
tangent line to the curve
R(t) = (2sint, t, 2cost) at the point (0, π, -2)

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How do we know to use the given value of t as t=pi which was used to get r'=(-2,1,0)? Not sure where that value of t is given or why pi is being used as time t to get the point r'

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