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d [rı(t)- r₂(t)] = [ dt d [ri(t) x r₂(t)] = dt

d [rı(t)- r₂(t)] = [ dt d [ri(t) x r₂(t)] = dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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d d Calculate[ri(t) r2(t)] and [r₁(t) × r₂(t)] first by differentiating the product directly and then by applying the formulas d dr₂ dri [ri(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 + 3tk, r₂(t) = 2i + tk d dt = [ d dt [r₁(t) · r₂(t)] [ri(t) x r₂(t)] =
Transcribed Image Text:d d Calculate[ri(t) r2(t)] and [r₁(t) × r₂(t)] first by differentiating the product directly and then by applying the formulas d dr₂ dri [ri(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 + 3tk, r₂(t) = 2i + tk d dt = [ d dt [r₁(t) · r₂(t)] [ri(t) x r₂(t)] =
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Find T(t) and N(t) at the given point. r(t) = (t² − 2)i + tj; t = 2 T(2) = 4 i + j √5 N(2) = 2 X X
Transcribed Image Text:Find T(t) and N(t) at the given point. r(t) = (t² − 2)i + tj; t = 2 T(2) = 4 i + j √5 N(2) = 2 X X
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