d Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating d dt the product directly and then by applying the formulas dt dri d ri(t) · r2(t)] = r1(t)· dr2 r2(t) and dt dt dt dr2 dri d ri(t) x r2(t)] = r1(t) × x r2(t). dt dt dt r1(t) = 2ti + 2t°j + 7t°k, r2(t) = t*k d ri(t) - r2(t)] : dt d [ri(t) × r2(t)]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 58E
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d
Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating
d
dt
the product directly and then by applying the formulas
dt
dri
d
ri(t) · r2(t)] = r1(t)·
dr2
r2(t) and
dt
dt
dt
dr2
dri
d
ri(t) x r2(t)] = r1(t) ×
x r2(t).
dt
dt
dt
r1(t) = 2ti + 2t°j + 7t°k, r2(t) = t*k
d
ri(t) - r2(t)] :
dt
d
[ri(t) × r2(t)]
dt
Transcribed Image Text:d Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating d dt the product directly and then by applying the formulas dt dri d ri(t) · r2(t)] = r1(t)· dr2 r2(t) and dt dt dt dr2 dri d ri(t) x r2(t)] = r1(t) × x r2(t). dt dt dt r1(t) = 2ti + 2t°j + 7t°k, r2(t) = t*k d ri(t) - r2(t)] : dt d [ri(t) × r2(t)] dt
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