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R3 Tangent line question

  1. Sep 23, 2007 #1
    1. The problem statement, all variables and given/known data

    Find parametric equations for the tangent line to the curve x= t^4, y= t^4, z=t^3 at the point (1,1,1)

    2. Relevant equations



    3. The attempt at a solution

    I understand everything about solving this problem with the exception of how to find what t =? to plug in. ie: This equation it equals 1, other problems I see it equals 0 or 2Pi, yet not a single place in 3 books do I see any mention as to how to determine what t is.

    What magic are they doing to figure this out?

    Thanks,
     
  2. jcsd
  3. Sep 23, 2007 #2

    Dick

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    Homework Helper

    Why don't you understand why t=1 in this problem? Now you are confusing me.
     
  4. Sep 24, 2007 #3

    HallsofIvy

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    x= t^4= 1, y= t^4= 1, and z= t^3= 1. Is there one value of t that satisfies those equations?
     
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