The notation "v ⊗ w" represents the tensor product of two vectors, v and w. This operation combines the two vectors to create a new mathematical object, called a tensor. The resulting tensor captures the interactions between the components of v and w, and is often used in various fields such as physics and engineering. In practical terms, if v is a vector in a space of dimension m and w is a vector in a space of dimension n, then "v ⊗ w" results in a tensor of dimension m × n. This tensor can be visualized as a matrix, where each element corresponds to the product of the components of v and w.