d [r₁(t) · r2(t)] = [r₁(t) × r₂(t)] : = d

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 86E
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d
−[r₁(t) · r₂(t)] =
dt
d
[r₁(t) × r₂(t)] = [
dt
Transcribed Image Text:d −[r₁(t) · r₂(t)] = dt d [r₁(t) × r₂(t)] = [ dt
d
d
Calculate[r₁(t) r₂(t)] and 7[r₁(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
dr₂ dr₁
[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 +8tk, r₂(t) = 7i+ tk
.
Transcribed Image Text:d d Calculate[r₁(t) r₂(t)] and 7[r₁(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr₂ dr₁ [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 +8tk, r₂(t) = 7i+ tk .
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