In space, the collection of all points that are the same
Chapter 9, Problem 68(choose chapter or problem)
In space, the collection of all points that are the same distance from some fixed point is called a sphere. See the illustration. The constant distance is called the radius, and the fixed point is the center of the sphere. Show that the equation of a sphere with center at 1x0 , y0 , z02 and radius r is 1x - x022 + 1y - y022 + 1z - z022 = r2 [Hint: Use the Distance Formula (1).]
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