d d Calculate ri(t) · r2(t)] and dt x r2(t)] first by differentiating dt the product directly and then by applying the formulas ari(t) · r2(t)] = r1(t) • d dr2 dri · r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = ri(t) × + x r2(t). dt dt dt r1(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk d [r(t) · r2(t)] d [r1(t) x r2(t)] dt

d d Calculate ri(t) · r2(t)] and dt x r2(t)] first by differentiating dt the product directly and then by applying the formulas ari(t) · r2(t)] = r1(t) • d dr2 dri · r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = ri(t) × + x r2(t). dt dt dt r1(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk d [r(t) · r2(t)] d [r1(t) x r2(t)] dt

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 20EQ

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