2313f10-practice-final

2313f10-practice-final - NAME : MAC 2313 Fall 2010 Practice...

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NAME : MAC 2313 — Fall 2010 Practice Final Please Note: We will discuss this exam on Tuesday 11/7 and Wednesday 11/8. Iapo log izeinadvancetha tIwon tbeab letopo s tso lu t ions . If you want to Fnd out the solutions, you should come to class on Tuesday and Wednesday. The actual Fnal exam will have a di±erent format than this exam. The actual Fnal exam will be shorter than this exam. The actual Fnal exam will provide the double angle identitiesfors inandcos .
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1. (10) For each of the following, answer MEANINGLESS, SCALAR, orVECTOR(orM , S, V) if the given expression is nonsense, is sensible and gives a scalar answer, or is sensible and gives a vector answer, respectively. In all of them, a , b ,and c are vectors with numerical components, F is a vector ±eld, and f is a scalar function. i. a · ( b × c ) ii. a × ( b · c ) iii. a · ( b · c ) iv. a × ( b × c ) v. ∇× f vi. ( ∇· f ) vii. ( f ) viii. ( f ) ix. ( F ) x. a xi. a xii. a · F Which of the meaningful expressions above always evaluate to 0 or 0 ?
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This note was uploaded on 12/15/2011 for the course MAC 2313 taught by Professor Keeran during the Spring '08 term at University of Florida.

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2313f10-practice-final - NAME : MAC 2313 Fall 2010 Practice...

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