Calculate ri(t) r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2, dri r:(t) - r2(t)] = r1(t)- r2(t) and dt dt dt dri dr2 r:(t) x r2(t)] =r¡(t) × x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i+ tk [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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Question
4
d
Calculate ri(t) r2(t)] and
dt
[ri(t) x r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr2
dri
[ri(t) r2(t)] = ri(t)-
dt
r2(t) and
dt
dt
d.
dr2
dri
r:(t) x r2(t)] =r¡(t) ×
dt
x r2(t).
dt
%3D
dt
r1(t)
= cos(t)i+ sin(t)j+ 8tk, r2(t) = 7i+ tk
OS
[ri(t) r2(t)] =
dt
Transcribed Image Text:d Calculate ri(t) r2(t)] and dt [ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri [ri(t) r2(t)] = ri(t)- dt r2(t) and dt dt d. dr2 dri r:(t) x r2(t)] =r¡(t) × dt x r2(t). dt %3D dt r1(t) = cos(t)i+ sin(t)j+ 8tk, r2(t) = 7i+ tk OS [ri(t) r2(t)] = dt
Ur2
[ri(t) x r2(t)] = ri(t) ×
dt
x r2(t).
dt
dt
ri(t) = cos(t)i + sin(t)j+ 8tk,
r2(t) = 7i+ tk
[r:(t) · r2(t)] =
dt
d
ri(t) x r2
dt
r2(t)] =
Transcribed Image Text:Ur2 [ri(t) x r2(t)] = ri(t) × dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i+ tk [r:(t) · r2(t)] = dt d ri(t) x r2 dt r2(t)] =
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