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A problem about vectors and surfaces

  1. May 12, 2007 #1
    1. The problem statement, all variables and given/known data

    Find the set of all points on the surface (y + z)^2 + (z − x)^2 = 16 where the
    normal line is parallel to the yz-plane. Describe this set.

    3. The attempt at a solution

    I find the gradient vector of the surface then I said that the f at f*i should be zero when it is parallel to yz plane. then I found z=x for all x and z.Is my answer true and what is the desxription of this set is it the plane of z=x?

  2. jcsd
  3. May 12, 2007 #2


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    Staff Emeritus
    Science Advisor

    Yes, that is exactly right.
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