How to express the equation of a circle in space? Know the center coordinate, normal vector and radius length of the circle. How to express the equation of the circle? It's the equation of a circle in three-dimensional coordinates~

First of all, knowing the center and radius of the circle, it is easy to get the equation of the sphere
（x-x0）²+（y-y0）²+（z-z0）²=r²
Secondly, we know the normal vector. Then we have the equation of the plane of the circle
(x-x0, y-y0, z-z0) * normal vector = 0
Let's calculate the second equation together

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