1.7.1 Show that u x v is solenoidal if u and v are each irrotational. Start by formulating the problem in terms of mathematical equations.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.24P
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1.7.5 Verify the vector identity
V x (A x B) = (BV)A- (AV)B-B(V A) +A(V B).
Describe in words what causes the last two terms to appear in the
identity beyond the BAC-CAB rule. If symbolic software is available,
test the Cartesian components for a typical case, such as A = L, B =
Transcribed Image Text:1.7.5 Verify the vector identity V x (A x B) = (BV)A- (AV)B-B(V A) +A(V B). Describe in words what causes the last two terms to appear in the identity beyond the BAC-CAB rule. If symbolic software is available, test the Cartesian components for a typical case, such as A = L, B =
1.7.1 Show that u x v is solenoidal if u and v are each irrotational. Start by
formulating the problem in terms of mathematical equations.
Transcribed Image Text:1.7.1 Show that u x v is solenoidal if u and v are each irrotational. Start by formulating the problem in terms of mathematical equations.
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1.7.1 Show that u x v is solenoidal if u and v are each irrotational. Start by
formulating the problem in terms of mathematical equations.
Transcribed Image Text:1.7.1 Show that u x v is solenoidal if u and v are each irrotational. Start by formulating the problem in terms of mathematical equations.
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