d d Calculate r(t)· r2(t)] and dt [ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas dr2 dri d ri(t) · r2(t)] = ri(t). r2(t) and dt dt dt d dr2 dri [r1(t) x r2(t)] = ri(t) x dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk
d d Calculate r(t)· r2(t)] and dt [ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas dr2 dri d ri(t) · r2(t)] = ri(t). r2(t) and dt dt dt d dr2 dri [r1(t) x r2(t)] = ri(t) x dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![d
d
ri(t) · r2(t)] and
[ri(t) × r2(t)] first by differentiating
dt
Calculate
dt
the product directly and then by applying the formulas
d
dr2, dri
[ri(t)•r»(t)] = r1(t) ·
dt
r2(t) and
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+ 6tk,
r2(t) = 5i + tk
d
ri(t) - r2(t)]
d
di ri(t) × r2(t)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e45a7fc-1f01-4f9a-8a0a-593005fb8a70%2F90bb859b-3e4d-4ecb-9792-3dcfa3b682cd%2Fftkwpt_processed.png&w=3840&q=75)
Transcribed Image Text:d
d
ri(t) · r2(t)] and
[ri(t) × r2(t)] first by differentiating
dt
Calculate
dt
the product directly and then by applying the formulas
d
dr2, dri
[ri(t)•r»(t)] = r1(t) ·
dt
r2(t) and
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+ 6tk,
r2(t) = 5i + tk
d
ri(t) - r2(t)]
d
di ri(t) × r2(t)]
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