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Homework Help: I need help. Vector functions

  1. Mar 13, 2009 #1
    1. The problem statement, all variables and given/known data

    r(t) = sin t (i) + cos t (j) + t (k)

    (a) Graph the vector function

    i = x

    j = y

    k = z

    Is this correct.

    Since t is in the Z direction. I'm going to assume that this graph is parallel to the XY plane.

    Now I'll take

    x = sin t
    y = cost t

    Then if you square both of these functions.

    so then we get x^2 + y^2 = (sin t) ^ 2 + (cos t) ^ 2

    Then this becomes x^2 + y ^2 = 1

    So it's a circle. Right. Is it going to be a spring or coil on the z - axis.
  2. jcsd
  3. Mar 13, 2009 #2
    Yep, that's right. The term for such a graph is a "helix".
  4. Mar 13, 2009 #3
    Oh ok. Thanks.
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