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How to find the normal vector on a Plane in 4d and above?

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M
M 2023-2-4
编辑： Torsten 2023-2-4
How to find the normal vector on a Plane in 4d and above?
If a plane in 4d contains the following points , how to find the normal vector on the plane?
P1 =[252716585.970010 -136769230.769231 0 0];
P2 =[ -136769230.769231 252716585.970010 -136769230.769231 0];
P3= [0 -136769230.769231 252716585.970010 -136769230.769231];
P4 = [0 0 -136769230.769231 126358292.985005];

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Torsten
Torsten 2023-2-4
编辑：Torsten 2023-2-4
Ran in:
It's a vector orthogonal to P2-P1, P3-P1 and P4-P1 (which all lie in the plane), thus e.g.
P1 =[252716585.970010 -136769230.769231 0 0];
P2 =[ -136769230.769231 252716585.970010 -136769230.769231 0];
P3= [0 -136769230.769231 252716585.970010 -136769230.769231];
P4 = [0 0 -136769230.769231 126358292.985005];
n = null([P2-P1;P3-P1;P4-P1])
n = 4×1
0.2420 0.4472 0.5843 0.6325

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