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 dri dr2 ri(t) - r2(t)] = r;(t)- ·r2(t) and dt dt dt d dr2 , dri ri(t) x r2(t)] = r1(t) × x r2(t). dt dt dt r|(t) = 5ti + 7t°j + 7t°k, r2(t) = t*k d [ri(t) · r2(t)] : dt 63 t6 d r(t) × r2(t)] =|(63t, –40t", 0) dt
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 dri dr2 ri(t) - r2(t)] = r;(t)- ·r2(t) and dt dt dt d dr2 , dri ri(t) x r2(t)] = r1(t) × x r2(t). dt dt dt r|(t) = 5ti + 7t°j + 7t°k, r2(t) = t*k d [ri(t) · r2(t)] : dt 63 t6 d r(t) × r2(t)] =|(63t, –40t", 0) dt
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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