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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F429db547-dd64-4387-81a2-e99c5b8b1cf9%2F1ad9b0f8-19ee-4ac8-ad2e-961f7e3de3b2%2Fnpgegkt_processed.png&w=3840&q=75)
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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