105PS1-1

# 105PS1-1 - 1 Taylor Page 35 1.8 2 Taylor Page 35 1.9 3...

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UNIVERSITY OF CALIFORNIA AT BERKELEY DEPARTMENT OF PHYSICS PHYSICS 105 SPRING SEMESTER 2009 LEROY T. KERTH Problem Set 1 Due February 2, 2009 Turn in problem sets by 5:00 PM on the due date. There is a box for them in room 251 LC. The following problems can be solved using geometry or some vector identities you have learned. In addition use tensor notation to solve the problem. This will show you that in some cases it is easier and in others it is harder than a brut force approach.
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Unformatted text preview: 1. Taylor Page 35 # 1.8 2. Taylor Page 35 # 1.9 3. Taylor Page 35 # 1.10 4. Taylor Page 35 # 1.13 5. Taylor Page 36 # 1.17 6. Taylor Page 37 # 1.23 7. Prove the following vector identities: A • ( B ! C ) = B • ( C ! A ) = C • ( A ! B ) ( A ! B ) • C ! D ( ) = ( A • C )( B • D ) " ( A • D )( B • C ) ( A ! B ) ! ( C ! D ) = C ( D • ( A ! B )) " D ( C • ( A ! B ))...
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