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