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Math Help - How to convert cartesian to parametric ( VECTOR, PLANES)

  1. #1
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    How to convert cartesian to parametric ( VECTOR, PLANES)

    Hi, I need some help with this question.

    The plane 3x-2y+z=7 contains the point (1,-2,0) and is perpendicular to (3,-2,1).

    find the equation of the plane in parametric form.


    please help me out,
    thanks!
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  2. #2
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    Quote Originally Posted by wonderrrgirl View Post
    Hi, I need some help with this question.

    The plane 3x-2y+z=7 contains the point (1,-2,0) and is perpendicular to (3,-2,1).

    find the equation of the plane in parametric form.


    please help me out,
    thanks!
    "The plane ..... contains the point (1,-2,0) and is perpendicular to (3,-2,1)" is redundant information since this information is contained in the given Cartesian equation.

    Let x = t and y = s. Then z = 7 - 3x + 2y = 7 - 3t + 2s.

    This is one of an infinite number of possible parametric forms.
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    So there can be more than one answer?
    Thanks!
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    Quote Originally Posted by wonderrrgirl View Post
    So there can be more than one answer?
    Thanks!
    Yes.

    Another possible answer is x = t + 1, y = s + 1, z = 7 - 3x + 2y = 7 - 3(t+1) + 2(s+1) = 6 - 3t + 2s.
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