What does orthogonal symmetry of bilinear function mean?

Orthogonal symmetry of bilinear function means that for a bilinear function f(x, y), if f(x, y)=-f(x, y), then this bilinear function has orthogonal symmetry. This orthogonal symmetry means that when performing dot product operation, there is no influence on the order of the two vectors x and y, and the result is always the same. This property is very important in many mathematical and physical problems.