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d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dri dr2 [r:(t) • r2(t)] = r1(t) · r2(t) and dt dt dt dr2 + [r1(t) × r2(t)] = r1(t) × dt dt d dri x r2(t). dt ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i + tk d ri(t) · r2(t)] dt d. [r(t) x r2(t)] : dt

d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dri dr2 [r:(t) • r2(t)] = r1(t) · r2(t) and dt dt dt dr2 + [r1(t) × r2(t)] = r1(t) × dt dt d dri x r2(t). dt ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i + tk d ri(t) · r2(t)] dt d. [r(t) x 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 [r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2 dr1 [r:(t) · r2(t)] = r;(t) - r2(t) and dt dt dt d ri(t) x r2(t)] =r;(t) x dr2 dri x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i + tk d diri(t) · r2(t)] = d d r: (t) x r2(t)]
Transcribed Image Text:d. d Calculate ri(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2 dr1 [r:(t) · r2(t)] = r;(t) - r2(t) and dt dt dt d ri(t) x r2(t)] =r;(t) x dr2 dri x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i + tk d diri(t) · r2(t)] = d d r: (t) x r2(t)]
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