d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [ri(t) r2(t)] = r1(t) · dr2 dr1 + dt r2(t) and || dt dt d dr2 dri [r:(t) × r2(t)] = ri(t) × dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 7tk, r2(t) = 6i + tk d [ri(t) - r2(t)] = dt d [ri(t) × r2(t)] : dt %3D
d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [ri(t) r2(t)] = r1(t) · dr2 dr1 + dt r2(t) and || dt dt d dr2 dri [r:(t) × r2(t)] = ri(t) × dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 7tk, r2(t) = 6i + tk d [ri(t) - r2(t)] = dt d [ri(t) × r2(t)] : dt %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 12E
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