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Tangent vector

  1. Sep 28, 2014 #1
    1. The problem statement, all variables and given/known data
    Find the tangent vector and unit tangent vector for the curve: r=sint, theta=t/3 for 0<=t<=6pi.

    2. Relevant equations
    If the tangent vector is r'(t)e(hat)r + r*theta(t)e(hat)theta, how does the restriction on t affect the answer? The same for the unit tangent vector, they don't seem to rely on this restriction.

    3. The attempt at a solution
     
  2. jcsd
  3. Sep 28, 2014 #2

    Orodruin

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    You are correct, the tangent vector at a given t does not depend on the range of t, only on the value of t chosen. The only relevance I see of the chosen range is that it closes the curve.
     
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