It is easy
in the plane this equation represents a circle.
in the 3d it will be a sphere. Put M(x,y,z) find the vectors AM and MB and get their scalar product....the rest is easy.
Hi - I'm totally stuck with this question: how to interpret it and tackle it. Any advice woiuld be greatly received!! We've not covered anything like this in classes...
Let
be two given distinct points in the Euclidean space. By finding the cartesian equation, descibe the surface representing the location of points M which are solutions of the equation
Thanks, FH
It is easy
in the plane this equation represents a circle.
in the 3d it will be a sphere. Put M(x,y,z) find the vectors AM and MB and get their scalar product....the rest is easy.
Hello, FelixHelix!
Let: be two given distinct points in Euclidean space.
By finding the cartesian equation, descibe the surface representing the location
of points which are solutions of the equation:
Let
Then: .
We have: .
. .
. .
. .
Complete the square:
. .
. . . . . .
. .
The locus of M is a sphere with center
. . and radius: