Here is the citation.

The definition of vectors multiplication was submitted on 1995, but published on 1997.

Before,there were no vector multiplication, nor division. If you multiply two vectors, the computer will be responded a scalar (dot product), or a matrix (crossproduct).

Till 1995, Borland, QUOTRO PRO version 5, supply the vector multiplication. The product of  two 17-vectors is another 17-vectors: components of product are the products of components. That makes vectors a closed set.

Ecological Modelling 97 (1997)75-86

Received 25 August 1995; accepted 15 August 1996, published 1997.

Trend Analysis, Bai, T. Jay, The Ethnic Publishing House, 2006, Beijing, pp. 222-243