If `vecL` and `vecL` are two length vectors, what physical quantity does `[vecL xx vecL]` represent ?

Explanation

According to definiton of vectors product of two vectors,
`vecL xx vecL = LL sin theta hatn`
But we know that area of a parallelogram
` S=LL sin theta`
So, `vecL xx vecL = S hatn`
So, `[vecL xx vecL]` represents the area of the parallelogram with sides `vecL` and `vecL` in vector from.