Calculate d[rı(t) - r2(t)] and d[rı(t) × r2(t)] first by differentiatingthe product directly and then by applying the formulasddr₂ dri[ri(t) r₂(t)] = r₁(t). + r₂(t) anddtdt dtdriddr2[r₁(t) x r₂(t)] = r₁(t) x + x r₂(t).dtdt dtr₁(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i+ tkddt¿[r₁(t) · r₂(t)] =[ddt[ri(t) x r₂(t)] =

d d Calculate[ri(t) - r2(t)] and[ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr₂ dr₁ [ri(t) r₂(t)] = ri(t). · + r₂(t) and dt dt dt d dr2 dr₁ [r₁(t) × r2(t)] = r₁(t) × + x r₂(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i+ tk d dt r₁(t) · r2(t)] = [ [ri(t) x r₂(t)] = r₁(1):

d d Calculate[ri(t) - r2(t)] and[ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr₂ dr₁ [ri(t) r₂(t)] = ri(t). · + r₂(t) and dt dt dt d dr2 dr₁ [r₁(t) × r2(t)] = r₁(t) × + x r₂(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i+ tk d dt r₁(t) · r2(t)] = [ [ri(t) x r₂(t)] = r₁(1):

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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