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How to prove some functions are scalar field or vector field

  1. Mar 15, 2015 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
    I solved #2,4 but I don't understand what #1,3 need to me. I know that scalar field is a function of points associating scalar value. But how can I prove some function is scalar field or vector field?
  2. jcsd
  3. Mar 15, 2015 #2


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    That's a good question. What does your textbook say?
  4. Mar 15, 2015 #3
    Text says scalar is invariant in rotational transformation.Then to prove some functions are scalar field, should I do rotational transformation, or are there any other methods?
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