d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [r:(t) · r2(t)] = r1(t)· · dri + dt dr2 ·r2(t) and dt dt dri d. [r:(t) x r2(t)] = ri(t) × dr2 + dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 7tk, r2(t) = 6i + tk d. [ri(t) r2(t)] =| dt d r:(t) × r2(t)] = dt
d d Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [r:(t) · r2(t)] = r1(t)· · dri + dt dr2 ·r2(t) and dt dt dri d. [r:(t) x r2(t)] = ri(t) × dr2 + dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 7tk, r2(t) = 6i + tk d. [ri(t) r2(t)] =| dt d r:(t) × r2(t)] = 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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Q1 Please answer asap ?
![d
d
Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
[r:(t) · r2(t)] = r1(t)· ·
dri
+
dt
dr2
·r2(t) and
dt
dt
dri
d.
[r:(t) x r2(t)] = ri(t) ×
dr2
+
dt
x r2(t).
dt
dt
ri(t) = cos(t)i + sin(t)j+ 7tk,
r2(t) = 6i + tk
d.
[ri(t) r2(t)] =|
dt
d
[r:(t) x r2(t)] =
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe23e2dde-e0bd-48d3-9ad0-55ec1bad1582%2Fe876df31-26c3-4721-beb0-36278507c23e%2Funuwwa_processed.png&w=3840&q=75)
Transcribed Image Text:d
d
Calculate r1(t) · r2(t)] and r1(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
[r:(t) · r2(t)] = r1(t)· ·
dri
+
dt
dr2
·r2(t) and
dt
dt
dri
d.
[r:(t) x r2(t)] = ri(t) ×
dr2
+
dt
x r2(t).
dt
dt
ri(t) = cos(t)i + sin(t)j+ 7tk,
r2(t) = 6i + tk
d.
[ri(t) r2(t)] =|
dt
d
[r:(t) x r2(t)] =
dt
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