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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.4: Applications

Problem 9EQ

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61. (a) Show that dB/ds is perpendicular to B.
(b) Show that dB/ds is perpendicular to T.
(c) Deduce from parts (a) and (b) that dB/ds = T(S)N
for some number 7(s) called the torsion of the curve.
(The torsion measures the degree of twisting of a curve.)
(d) Show that for a plane curve the torsion is 7(s) = 0.

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