d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dri d [r:(t) · r2(t)] = r1(t) • dr2 r2(t) and dt dt dt d [ri(t) x r2(t)] = r1(t) x dri x r2(t)- dr2 dt dt dt ri(t) = 2ti + 5tj + 5t°k, r2(t) = t'k d [ri(t) · r2(t)] d [r:(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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d
d
Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
dri
d
[r:(t) · r2(t)] = r1(t) •
dr2
r2(t) and
dt
dt
dt
d
[ri(t) x r2(t)] = r1(t) x
dri x r2(t)-
dr2
dt
dt
dt
ri(t) = 2ti + 5tj + 5t°k, r2(t) = t'k
d
[ri(t) · r2(t)]
d
[r:(t) x r2(t)] =
dt
Transcribed Image Text:d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dri d [r:(t) · r2(t)] = r1(t) • dr2 r2(t) and dt dt dt d [ri(t) x r2(t)] = r1(t) x dri x r2(t)- dr2 dt dt dt ri(t) = 2ti + 5tj + 5t°k, r2(t) = t'k d [ri(t) · r2(t)] d [r:(t) x r2(t)] = dt
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