If we use column and row major to describe dimension-majority for x and y respectively, what word is commonly used (if any) to describe such majority for the z dimension?
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As far as I am aware there is no such term.
The terms relate a linear representation of a two dimensional matrix in memory to a two dimensional representation "on paper". For higher dimensions this does not really make any sense since there is no such natural representation which you can relate it to.
Also, only specifying majority would not suffice for higher dimensional arrays, you would need to specify at least N-1 dimensions, leaving the last one to be inferred, to specify the linearisation of your multidimensional matrix.