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d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d [ri(t) r2(t)] = r1 dr2 ri(t). dt dri r2(t) and dt dt d dr2 dri [r(t) x r2(t)] = r:(t) x dt x r2(t). dt dt r:(t) = 4ti + 6t°j + 2t°k, r2(t) = t*k %3| d tri(e) - ra(t}] = [ d ri(t) x r2(t)] = dt

d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d [ri(t) r2(t)] = r1 dr2 ri(t). dt dri r2(t) and dt dt d dr2 dri [r(t) x r2(t)] = r:(t) x dt x r2(t). dt dt r:(t) = 4ti + 6t°j + 2t°k, r2(t) = t*k %3| d tri(e) - ra(t}] = [ d ri(t) x r2(t)] = dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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d d Calculate r1(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt - dt the product directly and then by applying the formulas d. ri(t) r2(t)] = r1(t) · dr2 dri r2(t) and dt dt dt dr2 dri x r2(t). d. ri(t) x r2(t)] = r;(t) x dt dt dt ri(t) = 4ti + 6t°j + 2t°k, r2(t) = t'k %3D d ri(t) r2(t)] dt d ri(t) x r2(t)] = | dt
Transcribed Image Text:d d Calculate r1(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt - dt the product directly and then by applying the formulas d. ri(t) r2(t)] = r1(t) · dr2 dri r2(t) and dt dt dt dr2 dri x r2(t). d. ri(t) x r2(t)] = r;(t) x dt dt dt ri(t) = 4ti + 6t°j + 2t°k, r2(t) = t'k %3D d ri(t) r2(t)] dt d ri(t) x r2(t)] = | dt
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