d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt the product directly and then by applying the formulas dt dr2, dri dt d ri(t) - r2(t)] = r{(t) - r2(t) and dt dt d dr2 dri (t) x r2(t)] = r1(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 7tk, r2(t) = 6i + tk d dt Ir:(t) - r2(t)]: [ri(t) x r2(t)] = dt
d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt the product directly and then by applying the formulas dt dr2, dri dt d ri(t) - r2(t)] = r{(t) - r2(t) and dt dt d dr2 dri (t) x r2(t)] = r1(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 7tk, r2(t) = 6i + tk d dt Ir:(t) - r2(t)]: [ri(t) x r2(t)] = dt
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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![Calculate ri(t) · r2(t)] and r:(t) × rą(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
dr2, dri
• 2(t) and
dt
d
ri(t) - r2(t)] = r:(t) -
dt
dt
d
dr2 , dri
(t) x r2(4)] = r1(t) ×
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
ri(t) x r2(t)] =|
II
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d68cef8-597c-4b1b-9e3e-bf77fedd8dd0%2F14fa4356-5fde-452c-be3d-47c8060d662c%2Fppcyi1u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Calculate ri(t) · r2(t)] and r:(t) × rą(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
dr2, dri
• 2(t) and
dt
d
ri(t) - r2(t)] = r:(t) -
dt
dt
d
dr2 , dri
(t) x r2(4)] = r1(t) ×
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
ri(t) x r2(t)] =|
II
dt
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