d d Calculate ri(t) · r2(t)] and r(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [ri(t) · r2(t)] = ri(t) · dr2, dri r2(t) and dt dt dt d dr2 , dri [ri(t) × r2(t)] =ri(t) x dt x r2(t). dt dt ri(t) = 6ti + 9t?j+5t°k, r2(t) = t*k d [r(t) · r2(t)] dt d [ri(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 r(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
dr2, dri
[ri(t) · r2(t)] = ri(t) ·
r2(t) and
dt
dt
dt
d
dr2 , dri
[r1(t) × r2(t)] =ri(t) x
dt
x r2(t).
dt
dt
r1(t) = 6ti + 9t°j + 5t°k, r2(t) = t*k
d
ar:(t) - r2(t)] =
d
[ri(t) × r2(t)]
Transcribed Image Text:d d Calculate ri(t) · r2(t)] and r(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2, dri [ri(t) · r2(t)] = ri(t) · r2(t) and dt dt dt d dr2 , dri [r1(t) × r2(t)] =ri(t) x dt x r2(t). dt dt r1(t) = 6ti + 9t°j + 5t°k, r2(t) = t*k d ar:(t) - r2(t)] = d [ri(t) × r2(t)]
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