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Is it correct?

  1. Nov 10, 2009 #1
    Is it correct? unique perpendicular vector

    1. The problem statement, all variables and given/known data

    Find the unique vector which is perpendicular on z= [tex]\sqrt{x^2+y^2}[/tex] at P=(3,4,5)

    2. Relevant equations

    [tex]\frac{\nabla F}{\left| \nabla F\left|}[/tex]

    3. The attempt at a solution

    The answer is [tex]\frac{\nabla F}{\left| \nabla F\left|}[/tex] and F(x,y,z)=[tex]\sqrt{x^2+y^2}[/tex]-z so the answer is [tex]\frac{\nabla F}{\left| \nabla F\left|}[/tex]= ([tex]\frac{0.6}{\sqrt{2}}[/tex] , [tex]\frac{0.8}{\sqrt{2}}[/tex] , [tex]\frac{-1}{\sqrt{2}}[/tex])
    Last edited: Nov 10, 2009
  2. jcsd
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