Horadam vectors

In the fields of Algebra and Number Theory, number sequences are widely used in various fields because they give metallic ratios such as gold, silver, copper. Horadam number sequence, defined by Alwyn Francis Horadam, is a generalisation of Fibonacci, Lucas, Pell, Jacobsthal number sequences whose characteristic equation is quadratic. Various studies such as Horadam numbers, Horadam polynomials have been exhibited. In this study, Horadam vectors are defined and the Binet formula of Horadam vectors is given. The inner product of Horadam vectors and vector products of Horadam vectors with norm value are obtained. The angles between Horadam vectors are analysed within two dimensional constraints. Key words: Horadam number, Horadam vector, Inner product, Vectorial product, Norm