SOLUTION: given: the distance formula n 3d. a sphere with radiu r has the center (a,b,c). prove: the equation of a sphere in rectangular coordinates (x,y,z) with radius r and cente (a,b,c

Question 193146: given: the distance formula n 3d. a sphere with radiu r has the center (a,b,c).
prove: the equation of a sphere in rectangular coordinates (x,y,z) with radius r and cente (a,b,c) is (x-a) squared plus (y-b) squared plus (z-c) squared equals r squared

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The locus of points that are equi-distant from a given point (a, b, c) in 3-dimensional space (a sphere) is given by:
Square both sides.
but the distance is called the radius, r, so...

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