Why two points can define a plane?

I am a bit confused why 2 points can define a plane, and it doesnt start from the origin point… why …

Much appreciate
Richard

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Two points can determine a plane if one of them is assumed to be the the origin and the other a normal vector. However, it is not a UNIQUE plane, as there are an infinite number of parallel planes that can be rotated around the normal vector. In the case of Grasshopper, I think it chooses one arbitrary plane amongst those that has its X-Axis is parallel to one of the principal axes…

–Mitch

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thanks Mitch