d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dri [r:(t) · r2(t)] = r1(t) · dr2 + dt r2(t) and dt dt dr2 + dt d dri 7ri(t) x r2(t)] = r¡(t) × x r2(t). dt dt ri(t) = 9ti + 6tj+ 7t°k, r2(t) = t*k d [r:(t) · r2(t)] = d dri(t) x r2(t)] :
d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dri [r:(t) · r2(t)] = r1(t) · dr2 + dt r2(t) and dt dt dr2 + dt d dri 7ri(t) x r2(t)] = r¡(t) × x r2(t). dt dt ri(t) = 9ti + 6tj+ 7t°k, r2(t) = t*k d [r:(t) · r2(t)] = d dri(t) x r2(t)] :
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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