[tex]Apostol 281, 4.[/tex](adsbygoogle = window.adsbygoogle || []).push({});

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

Find the set of points [tex](a,b,c)[/tex] for which the spheres below intersect orthogonally.

sphere 1: [tex]f(x,y,x):x^2+y^2+z^2=1[/tex]

sphere 2: [tex]g(x,y,z):(x-a)^2+(y-b)^2+(z-c)^2=1[/tex]

3. The attempt at a solution

II know that the gradient vector, [tex]\nabla f[/tex], is normal to the surface determined by [tex]f[/tex], I'm just unclear on creating the connection to the either the gradient or surface of [tex]g[/tex]. Clarification would be great.

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: The set of all points for which two spheres intersect orthogonally

**Physics Forums | Science Articles, Homework Help, Discussion**