The outer product of vectors `u, v` is the matrix `A_ij = u_i · v_j`. That is, a matrix containing the product of each component of u with each component of v.

The outer product of vectors `u, v` is the matrix `A_ij = u_i · v_j`. That is, a matrix containing the product of each component of u with each component of v. You may have been thinking of the cross product.