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Unit Tangent Vector

  1. Jan 29, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the vectors T, N, and B at the given point.
    r(t) = (sin(t), cos(t), ln(cos(t))), P = (0,1,0)

    2. Relevant equations
    T(t) = r'(t) / | r'(t) |

    N(t) = T'(t) / | T'(t) |

    B(t) = T(t) x N(t)

    3. The attempt at a solution
    I am stuck on how to solve for t. I am not sure how you would calculate for the parameter t in this equation.
  2. jcsd
  3. Jan 29, 2010 #2


    Staff: Mentor

    You're not supposed to solve for t. You're supposed to find T (the unit tangent vector), and N and B. T is a vector and t is a scalar parameter, possibly representing time.

    First thing to do is to find r'(t). Then find |r'(t)|. Use your relevant equations.
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