Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas dt dr2, dri r:(t) - r2(t)] = r;(t) - r2(t) and dt dt d [r1(t) × r2(t)] = r1(t) × dr2, dri x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk r:(t) r2(t)] = 2 t – sin(t) + 2 t r:(4) x ra(t)) sin(t) +t cos(t) i + (t sin(t)+2-cos(t)) j-cos(t) k
Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas dt dr2, dri r:(t) - r2(t)] = r;(t) - r2(t) and dt dt d [r1(t) × r2(t)] = r1(t) × dr2, dri x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk r:(t) r2(t)] = 2 t – sin(t) + 2 t r:(4) x ra(t)) sin(t) +t cos(t) i + (t sin(t)+2-cos(t)) j-cos(t) k
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
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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
dr2, dri
r:(t) - r2(t)] = r:(t) -
r2(t) and
dt
dt
d
dr2, dri
r:(t) x r2(t)] = ri(t) x
x r2(t).
dt
dt
dt
ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk
d.
ri(t) r2(t)] = 2 t – sin(t) + 2 t
dt
ri(t) x r2(t)] = sin(t) +t cos(t) i+ (t sin(t) + 2- cos(t)) j- cos(t) k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1e1b43f-26a5-4305-9ea0-964318556a43%2F6cd88e3b-fcd5-48f0-a6f6-c9ae0d36cd39%2Fy77dfpm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
d
Edit
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
dr2, dri
r:(t) - r2(t)] = r:(t) -
r2(t) and
dt
dt
d
dr2, dri
r:(t) x r2(t)] = ri(t) x
x r2(t).
dt
dt
dt
ri(t) = cos(t)i + sin(t)j + 2tk, r2(t) = i+ tk
d.
ri(t) r2(t)] = 2 t – sin(t) + 2 t
dt
ri(t) x r2(t)] = sin(t) +t cos(t) i+ (t sin(t) + 2- cos(t)) j- cos(t) k
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