r₁(t) = cos(t)i + sin(t)j +5tk, r₂(t) = 4i + tk X d -=[r₁(t) · r₂(t)] 10 t - 9 sin(t) = dt d -[r₁(t) × r₂(t)] = =10 t-9 sin(t) dt

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 61E
icon
Related questions
Question

4: Can you please help me correct the following

 

* Your answer is incorrect.
d
d
Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
dr2 dri
d
[r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and
dt
dt dt
d
dr2 dri
[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).
dt
dt dt
r₁(t) = cos(t)i + sin(t)j +5tk, r₂(t) = 4i + tk
d
=[r1(t)
ri(t)- r(t) = 10 t-9 sin(t) X
dt
dri(t)
[r₁(t) = r₂(t)] = 10 t-9 sin(t)
X
Transcribed Image Text:* Your answer is incorrect. d d Calculate[ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas dr2 dri d [r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and dt dt dt d dr2 dri [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j +5tk, r₂(t) = 4i + tk d =[r1(t) ri(t)- r(t) = 10 t-9 sin(t) X dt dri(t) [r₁(t) = r₂(t)] = 10 t-9 sin(t) X
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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