HW1 - a . c ) b - ( a . b ) c . Is it equal to ( a x b ) x...

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P116 Homework  # 1 8/28/2006 due  Friday   9/8/2006 Homeworks  should  be concise and  clear.  Unless otherwise specified, it is the shapes of plots/graphs  that the T.A. s are  looking for, not their numerical accuracies.  Read Chapter  1.  As you read  through  this chapter, you may not have the background  to fully  understand  all the examples. This is perfectly OK. We shall be covering those  materials in this course.  (1) Problem  1.1 (2) Problem  1.4 (3) Problem  1.6 (4) Verify that   a x  b x c  ) = ( 
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Unformatted text preview: a . c ) b - ( a . b ) c . Is it equal to ( a x b ) x c ? Hint: consider the special case when b = a . (5) Verify that ( a x b ) . ( c x d ) = ( a . c ) ( b . d ) - ( a . d ) ( b . c ). (6) Problem 1.11 Hint: use the result from (4). (7) Problem 1.13 If you do not have time to work out the details of Note 2.1 ( p.101), you should at least remember the result. OPTIONAL : Problem 1.21....
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