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 [r:(t) · r2(t)] = r1(t) • dr2 dri + dt r2(t) and dt dt dri d r:(t) x r2(t)] = r;(t) × dr2 + dt x r2(t). dt dt ri(t) = 6ti + 9t°j + 8t°k, r2(t) = t*k %3D %3D d diri(t) · r2(t)] = d ri(t) x r2(t)] dt
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 [r:(t) · r2(t)] = r1(t) • dr2 dri + dt r2(t) and dt dt dri d r:(t) x r2(t)] = r;(t) × dr2 + dt x r2(t). dt dt ri(t) = 6ti + 9t°j + 8t°k, r2(t) = t*k %3D %3D d diri(t) · r2(t)] = d ri(t) x r2(t)] dt
Chapter7: Systems Of Equations And Inequalities
Section7.5: Matrices And Matrix Operations
Problem 3SE: Can both the products AB and BA be defined? If so, explain how; if not, explain why.
Related questions
Question
![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
dr2
+
dt
d
dri
ri(t) - r2(t)] = r:(t)-
r2(t) and
dt
dt
d
dr2
r:(t) × r2(t)] = r1(t) ×
dr1
x r2(t).
dt
dt
dt
ri(t) = 6ti + 9tj+8t°k, r2(t) = t*k
%3D
d
ri(t) · r2(t)]
dt
d
ri(t) x r2(t)] =|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F936b7da5-e055-4768-acb5-4de4408abf2e%2F26aedb30-49a9-435e-a76a-08d4510c261a%2Ff5s8b7c_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
dr2
+
dt
d
dri
ri(t) - r2(t)] = r:(t)-
r2(t) and
dt
dt
d
dr2
r:(t) × r2(t)] = r1(t) ×
dr1
x r2(t).
dt
dt
dt
ri(t) = 6ti + 9tj+8t°k, r2(t) = t*k
%3D
d
ri(t) · r2(t)]
dt
d
ri(t) x r2(t)] =|
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