Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr2 ri(t) · r2(t)] = r(t)- = r1(t). d dri r2(t) and dt dt dr2 , dri + dt d [ri(t) × r2(t)] = ri(t) × dt x r2(t). dt r1(t) = 2ti + 8t?j+8t°k, r2(t) = t*k d [r:(t) · r2(t)] dt d [r1(t) × r2(t)] : dt %D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Question
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
d
dr2 , dri
[ri(t) r2(t)] = r1(t)
dt
r2(t) and
dt
dt
d
[ri(t) x r2(t)] = ri(t) ×
dr2
dri
x r2(t).
dt
dt
dt
r1(t) = 2ti + 8t²j+ 8t°k, r2(t) = t*k
ri(t) - r2(t)]
d
[ri(t) × r2(t)] =
dt
Transcribed Image Text: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 d dr2 , dri [ri(t) r2(t)] = r1(t) dt r2(t) and dt dt d [ri(t) x r2(t)] = ri(t) × dr2 dri x r2(t). dt dt dt r1(t) = 2ti + 8t²j+ 8t°k, r2(t) = t*k ri(t) - r2(t)] d [ri(t) × r2(t)] = dt
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