Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri dr(t) - r2(t)] = r(t) r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = r1(t) × dt x r2(t). dt dt ri(t) = cos(t)i+ sin(t)j+ 3tk, r2(t) = 2i + tk d ri(t) · r2(t)] : d [r1(t) x r2(t)] dt.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.4: Zeros Of Polynomial Functions
Problem 9ECP
icon
Related questions
Question
Calculate r1(t)·r2(t)] and
dt
[r1(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
dr2
dri
ar(t) - r2(t)] = r1(t)-
r2(t) and
dt
dt
d
dr2
dri
[r1(t) × r2(t)] = r1(t) ×
dt
x r2(t).
dt
dt
ri(t) = cos(t)i+ sin(t)j+ 3tk, r2(t) = 2i + tk
d
r:(t) - r2(t)] =
d
[r1(t) x r2(t)]
dt.
Transcribed Image Text:Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2 dri ar(t) - r2(t)] = r1(t)- r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = r1(t) × dt x r2(t). dt dt ri(t) = cos(t)i+ sin(t)j+ 3tk, r2(t) = 2i + tk d r:(t) - r2(t)] = d [r1(t) x r2(t)] dt.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College