d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d dr2, dri r:(t) - r2(t)] = r;(t) · r2(t) and dt dt dt d. [r(t) x r2(t)] = ri(t) x + dt dr2 dri x r2(t). dt dt ri(t) = 2ti + 8t°j + 6t°k, r2(t) = t'k d [ri(t) · r2(t)] : dt d [r:(t) x r2(t)] = dt

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
r2(t) and
dt
dt
dt
d
ri(t) x r2(t)] = r:(t) ×
dr2
dri
+
dt
x r2(t).
dt
dt
r1(t) = 2ti + 8t°j + 6t°k, r2(t) = t*k
%3D
d
ri(t) · r2(t)]
dt
d
[ri(t) x 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 r2(t) and dt dt dt d ri(t) x r2(t)] = r:(t) × dr2 dri + dt x r2(t). dt dt r1(t) = 2ti + 8t°j + 6t°k, r2(t) = t*k %3D d ri(t) · r2(t)] dt d [ri(t) x r2(t)] dt
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