d d Calculate [ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [r(t) · r2(t)] = r1(t) · dr2 dr r2(t) and dt dt dt d [r(t) × r2(t)] = r:(t) × dr2 dri x r2(t). dt dt ri(t) = 4ti + 2t2j + 5t*k, r2(t) = tªk [r1(t) · r2(t)] = [r(t) × r2(t)] = dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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Question
d
d
Calculate r:(t) - r2(t+)] and ri(t):
x r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
dt
d
dr2
r(t) · r2(t)] = r1(t)· .
dt
dri
· 2(t) and
dt
dt
dri
d
[r1(t) x r2(t)] = r:(t) x
dr2
x r2(t).
dt
dt
ri(t) = 4ti + 2t2²j+ 5t°k, r2(t) = t“k
d
[ri(t) · r2(t)] =
dt
d
[ri(t) x r2(t)] =
dt
Transcribed Image Text:d d Calculate r:(t) - r2(t+)] and ri(t): x r2(t)] first by differentiating dt the product directly and then by applying the formulas dt d dr2 r(t) · r2(t)] = r1(t)· . dt dri · 2(t) and dt dt dri d [r1(t) x r2(t)] = r:(t) x dr2 x r2(t). dt dt ri(t) = 4ti + 2t2²j+ 5t°k, r2(t) = t“k d [ri(t) · r2(t)] = dt d [ri(t) x r2(t)] = dt
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