dr2, dri r(t) - r2(t)] = r1(t) - r2(t) and dt dt dt dro dr.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
icon
Related questions
Question
Calculate (r:(t) · r2(t)] and r1(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
r:(t) - r2(t)] = r1(t) ·
dr2, dri
+
dt
r2(t) and
dt
dt
r:(t) x r2(t)] = r|(t) ×
dr2, dri
+
dt
x r2(t).
dt
ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i + tk
[r:(t) · r2(t)]:
%3D
r:(t) × r2(t)] =
Transcribed Image Text:Calculate (r:(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas r:(t) - r2(t)] = r1(t) · dr2, dri + dt r2(t) and dt dt r:(t) x r2(t)] = r|(t) × dr2, dri + dt x r2(t). dt ri(t) = cos(t)i + sin(t)j+ 8tk, r2(t) = 7i + tk [r:(t) · r2(t)]: %3D r:(t) × r2(t)] =
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer