1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member
    2017 Award

    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted