this post was submitted on 06 Jun 2025
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As an engineer, Z up right handed is the only one that makes sense. All engineering follows this convention, motion sensors (example) or GPS topography will use that.
Cameras calibrations also use right hand but typically rotated such that it's X right, Y down, Z depth. That way, the projection formula give the pixels column, row and depth values.
In Physics we mostly used right-hand, but X-right, Y-up, and Z pointing towards the viewer.
But that's details. The only important choice is between left- and right-handed, as that affects the signs in the cross product (and some other formulas - generally everything that cares about which rotation is considered positive).