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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 dri dr2 [r(t) · r2(t)] = r1(t) : r2(t) and dt dt dri dr2 [ri(t) × r2(t)] = ri(t) × x r2(t). dt dt r1(t) = cos(t)i + sin(t)j+ 3tk, r2(t) = 2i + tk [r(t) · r2(t)] : dt

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 dri dr2 [r(t) · r2(t)] = r1(t) : r2(t) and dt dt dri dr2 [ri(t) × r2(t)] = ri(t) × x r2(t). dt dt r1(t) = cos(t)i + sin(t)j+ 3tk, r2(t) = 2i + tk [r(t) · r2(t)] : dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 40E
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4b Please give me the full solution and answer, Thank you The cross product of only
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 + dt dt r2(t) and dt d [ri(t) x r2(t)] = ri(t) x dr2, dri x r2(t). dt dt dt r1(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk d [ri(t) 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 + dt dt r2(t) and dt d [ri(t) x r2(t)] = ri(t) x dr2, dri x r2(t). dt dt dt r1(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk d [ri(t) r2(t)] dt
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