dri(t) · r2(t)] and ri(t) x r2(t)] first by differentiatin e dt luct directly and then by applying the formulas dr2, dri r2(t)] = r:(t) . dt r2(t) and dt x r2(t)] = r1(t) x dr2, dri dt x r2(t). dt %3D ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk %3D r2(t)] %3D < r2(t)]
dri(t) · r2(t)] and ri(t) x r2(t)] first by differentiatin e dt luct directly and then by applying the formulas dr2, dri r2(t)] = r:(t) . dt r2(t) and dt x r2(t)] = r1(t) x dr2, dri dt x r2(t). dt %3D ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk %3D r2(t)] %3D < r2(t)]
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
Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d.
ri(t) r2(t)] = ri(t).
dr2, dri
+
dt
· r2(t) and
%3D
dt
dt
d
dr2
dri
r(t) x r2(t)] = r1(t) ×
x r2(t).
dt
dt
dt
ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk
%3|
d
r(t)- r2(t)] :
=|
dt
d
r(t) x r2(t)]
=|
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89f79a24-5a39-4eae-9274-48469de3264b%2Fb6872db6-9c87-464c-834b-d1c3e0b28bf8%2Fule6yx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
d
Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d.
ri(t) r2(t)] = ri(t).
dr2, dri
+
dt
· r2(t) and
%3D
dt
dt
d
dr2
dri
r(t) x r2(t)] = r1(t) ×
x r2(t).
dt
dt
dt
ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk
%3|
d
r(t)- r2(t)] :
=|
dt
d
r(t) x r2(t)]
=|
dt
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