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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
icon
Related questions
Question
4 Please give me the full solution and answer, Thank you
d
d
Calculate
[ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
ri(t) - r2(t)] = r1(t) :
dr2, dri
+
dt
dt
r2(t) and
dt
d
[ri(t) x r2(t)] = ri(t) x
dr2, dri
x r2(t).
dt
dt
dt
r1(t) = cos(t)i + sin(t)j + 3tk,
r2(t) = 2i + tk
d
[ri(t) r2(t)]
dt
Transcribed Image Text:d d Calculate [ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d ri(t) - r2(t)] = r1(t) : dr2, dri + dt dt r2(t) and dt d [ri(t) x r2(t)] = ri(t) x dr2, dri x r2(t). dt dt dt r1(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk d [ri(t) r2(t)] dt
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
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