et r be a three-dimensional real vector-valued function such that r′′ exists. Show that d/dt [r(t) ×r′(t)] = 1/3 r′′(t) ×−3r(t).
et r be a three-dimensional real vector-valued function such that r′′ exists. Show that d/dt [r(t) ×r′(t)] = 1/3 r′′(t) ×−3r(t).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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2. Let r be a three-dimensional real
Show that d/dt [r(t) ×r′(t)] = 1/3 r′′(t) ×−3r(t).
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