The following photo is a part of a paper(Quicker than Quickhull by Nam-Du ?ng Hoang et al) and it is about the orient operator of three points in a plain that uses the cross-product.
It is said that the numerical stability of (4) is worse than (2) and (3), in general. From the resources found on the Internet, I can expect as it is said, but I do not know why it is exactly.
Decimal point operation is not very accurate when it comes to computation by computers. Could anyone please explain (or compare the (2)~(4) equations) what exactly happens in terms of numerical stability?
question from:https://stackoverflow.com/questions/65599614/the-numerical-stability-of-orient-operation-of-three-points-in-a-plain
