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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 dr2 dr1 [ri(t) · r2(t)] = r¡(t) · dt r2(t) and dt dt d [ri(t) × r2(t)] = r¡(t) × dr2 dri x r2(t). dt dt dt ri(t) = 6ti + 4t²j+t°k, r2(t) = t'k [ri(t) · r2(t)] : d [ri(t) × 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 dr2 dr1 [ri(t) · r2(t)] = r¡(t) · dt r2(t) and dt dt d [ri(t) × r2(t)] = r¡(t) × dr2 dri x r2(t). dt dt dt ri(t) = 6ti + 4t²j+t°k, r2(t) = t'k [ri(t) · r2(t)] : d [ri(t) × r2(t)] dt

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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d 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 dr2 dri d [r:(t) · r2(t)] = r1(t) · · r2(t) and dt dt dt d dr2 dri [ri(t) x r2(t)] = r¡(t) × dt x r2(t). dt dt r1(t) = 6ti + 4t?j+t°k, r2(t) = t*k d [ri(t) · r2(t)] d [r(t) × r2(t)] = dt
Transcribed Image Text:d 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 dr2 dri d [r:(t) · r2(t)] = r1(t) · · r2(t) and dt dt dt d dr2 dri [ri(t) x r2(t)] = r¡(t) × dt x r2(t). dt dt r1(t) = 6ti + 4t?j+t°k, r2(t) = t*k d [ri(t) · r2(t)] d [r(t) × r2(t)] = dt
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