d d Calculate ri(t) · r2(t)] and [r:(t) x r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr dr2 r(t) · r2(t)] = r1(t) ·. r2(t) and dt dt dt d dr2 dri ri(t) x r2(t)] = r:(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 7tk, r2(t) = 6i + tk d dri(t) - r2(t)] d r:(t) x r2(t)] 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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Question
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
dr
dr2
r(t) · r2(t)] = r1(t) ·.
r2(t) and
dt
dt
dt
d
dr2
dri
ri(t) x r2(t)] = r:(t) ×
x r2(t).
dt
dt
dt
ri(t) = cos(t)i + sin(t)j+ 7tk, r2(t) = 6i + tk
d
dri(t) - r2(t)]
d
r:(t) x r2(t)]
dt
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 dr dr2 r(t) · r2(t)] = r1(t) ·. r2(t) and dt dt dt d dr2 dri ri(t) x r2(t)] = r:(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j+ 7tk, r2(t) = 6i + tk d dri(t) - r2(t)] d r:(t) x r2(t)] dt
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