1. Nov 2, 2008 #1

   Philosophaie

   

   Looking for the equation in spherical coordinates and the spherical equation with the unit vectors:
   Frr + FӨӨ + FØØ = constant
   
   The equation is:
   
   x^2 + y^2 + z^2 = r^2
   
   is the equation for a sphere radius = r centered at the origin. What is the cartesian equation?
   
   x*x + y*y + z*z = r ?
   
   What is the sphere in spherical coordianates?
   
   r*cosӨ*sinØ*r + r*sinӨ*sinØ /(r*sin)*Ө + r*cosØ/r*Ø = Constant ?
   
   or
   
   r*cosӨ*sinØ*r + sinӨ*Ө + cosØ*Ø =Constant ?

    

   Philosophaie, Nov 2, 2008
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3. Nov 2, 2008 #2

   HallsofIvy

   

   Science Advisor

   What you gave before WAS the Cartesian equation. I can't make any sense of the equation you give here because the left side of the equation is a vector while the right side is a number.
   
   

   The equation of the sphere you gave before, with center at (0,0,0) and radius r, in spherical coordinates is, of course, [itex]\rho= r[/itex].
   Again, your "vector equation" is setting a vector equal to a number.

    

   HallsofIvy, Nov 2, 2008

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