d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dri r(t) - r2(t)] = r1(t) · dr2 + dt r2(t) and dt dt d dr2 + dt dri ri(t) x r2(t)] = r;(t) x x r2(t). dt dt ri(t) = 2ti + 9t²j + 4t°k, r2(t) = t*k d [r(t) · r2(t)] = dt d dr:(t) × r2(t)]
d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dri r(t) - r2(t)] = r1(t) · dr2 + dt r2(t) and dt dt d dr2 + dt dri ri(t) x r2(t)] = r;(t) x x r2(t). dt dt ri(t) = 2ti + 9t²j + 4t°k, r2(t) = t*k d [r(t) · r2(t)] = dt d dr:(t) × r2(t)]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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Calculate by differentiating the product directly and then by applying the formulas.
r1(t) = 2ti + 9t2j + 4t3k, r2(t) = t4k
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