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Explicit form to parametric form

  1. Mar 19, 2012 #1
    Hi there,
    I have the plane in an explicit form:
    12x + 2y – 20z = -56

    How do I make it in parametric form?

    Thanks in advance
  2. jcsd
  3. Mar 19, 2012 #2
    Take for example the example of:


    It can be parametrized by using a free parameter t as:

    x=t and y=t^2 Hope I've helped you a bit.
  4. Mar 19, 2012 #3


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    Science Advisor

    A plane is two-dimensional so parametric equations will require two parameters. You can use any two of x, y, and z as as those parameters.

    It might help you to remember that there is no "unique" parameterization for a geometric object. There may be many different ways to parameterize such a figure.
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