SOLUTION: Let p0 = (x0,y0,z0)and p = (x,y,z). Describe the set of all points (x,y,z) for which ||p-p0|| = 1.

SOLUTION: Let p0 = (x0,y0,z0)and p = (x,y,z). Describe the set of all points (x,y,z) for which ||p-p0|| = 1.

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Question 105470This question is from textbook Elementary Linear Algebra
: Let p0 = (x0,y0,z0)and p = (x,y,z). Describe the set of all points (x,y,z) for which ||p-p0|| = 1. This question is from textbook Elementary Linear Algebra

Answer by wgunther(43) (Show Source): You can put this solution on YOUR website!
We are concerened with the norm of the vector (x-x0, y-y0, z-z0) equaling 1. This happens when
}
Square both sides

Which you will recgonize as a circle of radius one centered at (x0,y0,z0)
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