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)] = ri(t) - dr, dri dt r2(t) and dt dt dr2 dri ri(t) x r2(t)] = r:(t) x dt x r2(t). dt %3D dt ri(t) = cos(t)i+ sin(t)j+ 6tk, r2(t) = 5i + tk %3D d. ri(t) r2(t)] %3D dt d ri(t) x r2(t)] %3D dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 20E
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Question 9
Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
d
r(t) r2(t)] = r1(t) -
dr2
dri
dt
r2(t) and
dt
d.
(t) x r2(t)] = r(t) ×
dr2, dri
x r2(t).
dt
dt
dt
ri(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk
d
r(t) r2(t)] =
dt
ri(t) x r2(t)]:
dt
e Type here to search
Transcribed Image Text:Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d r(t) r2(t)] = r1(t) - dr2 dri dt r2(t) and dt d. (t) x r2(t)] = r(t) × dr2, dri x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk d r(t) r2(t)] = dt ri(t) x r2(t)]: dt e Type here to search
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