d Calculate r1(t) - r2(t)] and dt [r:(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri [r:(t) r2(t)] = r:(t) . dt r2(t) and dt dt d. dr2 dri [ri(t) × r2(t)] = r1(t) x dt x r2(t). dt dt ri(t) = 8ti + 4t'j+ 3t°k, r2(t) = t*k d [r(t) · r2(t)] dt d [r(t) × r2(t)] dt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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d
Calculate r1(t) · r2(t)] and r1(t) x ra(t)] first by differentiating
dt
[r1(t) x r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr2
dri
[r:(t) r2(t)] = r:(t) .
dt
r2(t) and
dt
dt
d.
dr2
dri
[ri(t) × r2(t)] = r1(t) x
dt
x r2(t).
dt
dt
ri(t) = 8ti + 4t'j+ 3t°k, r2(t) = t*k
d
[r(t) · r2(t)]
dt
d
[r(t) × r2(t)]
dt
Transcribed Image Text:d Calculate r1(t) · r2(t)] and r1(t) x ra(t)] first by differentiating dt [r1(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri [r:(t) r2(t)] = r:(t) . dt r2(t) and dt dt d. dr2 dri [ri(t) × r2(t)] = r1(t) x dt x r2(t). dt dt ri(t) = 8ti + 4t'j+ 3t°k, r2(t) = t*k d [r(t) · r2(t)] dt d [r(t) × r2(t)] dt
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