# Matrix of vectors

Hi.

Suppose that I have a collection of vectors $v_1, \ldots, v_n \in \mathbb{R}^3$ and I wish to compute all cross products $v_i \times v_j \in \mathbb{R}^3$ where $1 \leq i < j \leq n$. Is it possible to store the output in a matrix, i.e. can I form a matrix M in Sage where $M(i,j) = v_i \times v_j$?