Average scale node (vector math)

It will be great to have an operation over a vector such as

(X * Y * Z) ^ (1 / 3)

Actually I have to separate XYZ then multiply twice then cube root

Or (more advanced as it takes the whole affine transform) create a matrix then determinant then cube root.

This may be used as a scale average value, for use to shading instances produced by GeometryNodes at different scales, for case.

Actually a vector connected to a scalar is averaged (X + Y + Z) / 3. This is analog but in a logarithmic space.

Thanks for this great software suite.