hw7246 - ~ r and ~ p are r 2 , p 2 and ~ r ~ p . Why not ~...

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Physics 246, Spring 2007 Homework #7 Due in class, Wednesday, April 4, 2007 Feel free to discuss the problems with me and/or each other. Each student must write up his/her own solutions separately. Each problem is worth 10 points unless otherwise indicated. 1. Libo±, problem 9.8, p. 365. 2. (15 points) (a) The only independent scalars that can be found from
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Unformatted text preview: ~ r and ~ p are r 2 , p 2 and ~ r ~ p . Why not ~ L ~ r , ~ L ~ p , or L 2 ? (b) Show that [ ~ L, f ( r 2 , p 2 , ~ r ~ p )] = 0 where f is an arbitrary function of its three arguments. 3. Libo, problem 9.14, p. 381. 4. Libo, problem 9.23, p. 385. 5. Libo, problem 9.26, p. 385....
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