ri(t) - r2(t)] = ri(t) × 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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Question
d
Calculate ri(t) r2(t)] and rı(t) x r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
dt
d
dr2 dri
dt
T:(t) · r2(t)] = r1(t)-
=r¡(t) -
dt
r2(t) and
dt
dri
dr2
r:(t) x r2(t)] = ri(t) x
x r2(t).
dt
dt
ri(t) = 9ti + 9t'j + 6t°k,
r2(t) = t*k
ri(t) ra(t)]
r:(t) x r2(t)]
Transcribed Image Text:d Calculate ri(t) r2(t)] and rı(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas dt d dr2 dri dt T:(t) · r2(t)] = r1(t)- =r¡(t) - dt r2(t) and dt dri dr2 r:(t) x r2(t)] = ri(t) x x r2(t). dt dt ri(t) = 9ti + 9t'j + 6t°k, r2(t) = t*k ri(t) ra(t)] r:(t) x r2(t)]
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