In Sweden, with scalars, we used vertically centered dot, but even that is pretty uncommon since most of the time, two letters or a letter and a number are mixed and then it is left it out altogether.

This made the x problem much smaller.

In France we use the wedge ∧ for vector cross product.

Then what do you use for the outer product?

Same in Spanish. That gets rid of the problem.

I find it clearer to write dot products using inner product notation 〈,〉rather than \cdot .