d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2 dr1 [r1(t) r2(t)] = r1(t) · dt r2(t) and dt dt dr1 x r2(t). dr2 d. [ri(t) x r2(t)] = ri(t) x %3D dt dt dt r1(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk %3D
d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2 dr1 [r1(t) r2(t)] = r1(t) · dt r2(t) and dt dt dr1 x r2(t). dr2 d. [ri(t) x r2(t)] = ri(t) x %3D dt dt dt r1(t) = cos(t)i + sin(t)j+ 6tk, r2(t) = 5i + tk %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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