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d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d [r(t) · r2(t)] = r1(t) • dr2, dri r2(t) and dt dt dt d dr2 dri [ri(t) × r2(t)] = ri(t) × dt x r2(t). dt dt r:(t) = 3ti + 3tj+ t°k, r2(t) = tk [ri(t) · r2(t)] = %3D d [ri(t) × r2(t)] dt

d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d [r(t) · r2(t)] = r1(t) • dr2, dri r2(t) and dt dt dt d dr2 dri [ri(t) × r2(t)] = ri(t) × dt x r2(t). dt dt r:(t) = 3ti + 3tj+ t°k, r2(t) = tk [ri(t) · r2(t)] = %3D d [ri(t) × r2(t)] dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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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 d [r1(t)· r2(t)] = r1(t) · dr2 , dri + dt r2(t) and dt dt dr2 dri ri(t) x r2(t)] = r¡(t) x dt x r2(t). dt dt r1(t) = 3ti + 3t²j + t°k, r2(t) = tʻk [r(t) r2(t)] d, [ri(t) × r2(t)] dt
Transcribed Image Text: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 d [r1(t)· r2(t)] = r1(t) · dr2 , dri + dt r2(t) and dt dt dr2 dri ri(t) x r2(t)] = r¡(t) x dt x r2(t). dt dt r1(t) = 3ti + 3t²j + t°k, r2(t) = tʻk [r(t) r2(t)] d, [ri(t) × r2(t)] dt
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