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Math Help - Unit Normal

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    Super Member Aryth's Avatar
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    Unit Normal

    Show that a unit normal to the surface x^3y^3 + y - z + 2 = 0 is given by \bold{n} = \frac{1}{\sqrt{2}}(\bold{j} - \bold{k})
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  2. #2
    Super Member Rebesques's Avatar
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    Start by finding a normal to the point (that you have not mentioned ), and normalize, dividing by its length.

    In general, the surface given by f(x,y,z)=0 will have the vector \nabla f(x_0,y_0,z_0) as normal at f(x_0,y_0,z_0).
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