unity – divide a Vector3 to recuperate a scale issue?

Fun reality: there are solely 4 attainable division algebras over tuples of reals:

Every other division algebra have to be isomorphic to one among these, by the Frobenius theorem.

Notice that 3-vectors are usually not within the listing! There isn’t a full and constant option to outline division over third-dimensional vectors. Actually, William Rowan Hamilton was wanting for a option to divide triples when he found quaternions.

So, vector division will not be a helpful means to consider this drawback.

In case your scale is barely ever uniform, then you’ve the identical worth in all three elements x, y, and z, so you’ll be able to simply choose one:

float dimension = rework.localScale.x;

For those who can have non-uniform scale, then to digest three probably totally different scale components down into one, you want some option to common them, both taking their arithmetic imply:

float averageSize = (rework.localScale.x 
                   + rework.localScale.y
                   + rework.localScale.z) / 3f;

Or their geometric imply:

float volumeScale = rework.localScale.x 
                  * rework.localScale.y
                  * rework.localScale.z;

float averageScale = Mathf.Pow(volumeScale, 1f/3f);