d Calculate ri(t) · r2(t)] and ri(t) × 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) · dt r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = r¡(t) × dt x r2(t). dt dt ri(t) = 2ti + 7tj + 8t°k, r2(t) = t*k d ri(t) - r2(t)] = dt [r1(t) × r2(t)] =

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 4E: Let A=[aij]23 where aij=i+j, and let B=[bij]34 where bij=2ij. If AB=[cij]24, write a formula for cij...
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Question
d
Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating
d
dt
dt
the product directly and then by applying the formulas
d
dr2
dri
[r1(t) · r2(t)] = r1(t) ·
dt
r2(t) and
dt
dt
d
dr2
dri
[ri(t) × r2(t)] = r¡(t) ×
dt
x r2(t).
dt
dt
ri(t) = 2ti + 7t°j + 8t°k, r2(t) = t*k
d
[ri(t) - r2(t)] =
dt
[r1(t) × r2(t)] =
Transcribed Image Text:d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly and then by applying the formulas d dr2 dri [r1(t) · r2(t)] = r1(t) · dt r2(t) and dt dt d dr2 dri [ri(t) × r2(t)] = r¡(t) × dt x r2(t). dt dt ri(t) = 2ti + 7t°j + 8t°k, r2(t) = t*k d [ri(t) - r2(t)] = dt [r1(t) × r2(t)] =
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