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 dri d [ri(t) r2(t)] = r1(t) · dr2 + dt · r2(t) and dt dt dr2 dri d [ri(t) x r2(t)] = r1(t) x x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j+ 5tk, r2(t) = 4i + tk

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
icon
Related questions
Question

4Pls box the final answer

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
+
dt
dri
d
[ri(t) r2(t)] = r1(t) ·
· r2(t) and
dt
dt
d
dr2
dri
[ri(t) × r2(t)] = ri(t) ×
dt
x r2(t).
dt
dt
ri(t) = cos(t)i + sin(t)j+ 5tk, r2(t) = 4i + tk
d
[ri(t) · r2(t)] :
dt
dri(t) x r2(t}] =|
%3D
Transcribed Image Text: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 + dt dri d [ri(t) r2(t)] = r1(t) · · r2(t) and dt dt d dr2 dri [ri(t) × r2(t)] = ri(t) × dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 5tk, r2(t) = 4i + tk d [ri(t) · r2(t)] : dt dri(t) x r2(t}] =| %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning