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

Algebra.Com's Answer #79247 by wgunther(43) $\"\"$ $\"About$

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We are concerened with the norm of the vector (x-x0, y-y0, z-z0) equaling 1. This happens when\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%28x-x_0%29%5E2%2B%28y-y_0%29%5E2%2B%28z-z_0%29%5E2%29=1\"$ }
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"%28x-x_0%29%5E2%2B%28y-y_0%29%5E2%2B%28z-z_0%29%5E2=1\"$
\n" ); document.write( "Which you will recgonize as a circle of radius one centered at (x0,y0,z0) \n" ); document.write( "

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