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dri(t) · r2(t)] and ri(t) x r2(t)] first by differentiatin e dt luct directly and then by applying the formulas dr2, dri r2(t)] = r:(t) . dt r2(t) and dt x r2(t)] = r1(t) x dr2, dri dt x r2(t). dt %3D ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk %3D r2(t)] %3D < r2(t)]

dri(t) · r2(t)] and ri(t) x r2(t)] first by differentiatin e dt luct directly and then by applying the formulas dr2, dri r2(t)] = r:(t) . dt r2(t) and dt x r2(t)] = r1(t) x dr2, dri dt x r2(t). dt %3D ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk %3D r2(t)] %3D < r2(t)]

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 20E
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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)] = ri(t). dr2, dri + dt · r2(t) and %3D dt dt d dr2 dri r(t) x r2(t)] = r1(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk %3| d r(t)- r2(t)] : =| dt d r(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)] = ri(t). dr2, dri + dt · r2(t) and %3D dt dt d dr2 dri r(t) x r2(t)] = r1(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 3tk, r2(t) = 2i + tk %3| d r(t)- r2(t)] : =| dt d r(t) x r2(t)] =| dt
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