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Math Help - vector calculus- parametrization of a line

  1. #1
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    Question vector calculus- parametrization of a line

    find a parametrization of a line through the point (-8,1,4) perpendicular to the plane with the equation 7x+3y+z=8

    i'm not even sure what it means by "parametrization" the problem before was the same type of thing and i think i got it but this problem will help me double check that one.
    any starter hints? thanks so much!!
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  2. #2
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    So you have a point you need to pass through (-8,1,4)

    The direction vector for the line you want you can get from the plane given:

    7x+3y+z=8, you take the normal vector from the plane:

    (7,3,1).


    Then you set a parameter variable say t.

    so:

    x = 7t-8
    y=3t+1
    z=t+4
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  3. #3
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    ah thank you i was making it harder than it was
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