Abstract

A normal or pure vector r is one whose components are scalars multiplied by the unit basis vectors. It is shown that factors of the unit bases vectors, to represent a complex vector, in its simplest form become complex numbers, (ai + jbi), for j = 1 . Thus, each factor of each axis can have a real part and an imaginary part. It is known that both the real and imaginary parts of a complex number are imagined as lines perpendicular to each other. From this, an imaginary and perpendicular axis is conceived as created by each real axis for defining N-Dimensional complex vectors (or pure, for j = 0). Multidimensional Dot and Cross product of two complex vectors were achieved. Similarly, Multidimensional Dot and Cross Triple Product of three complex vectors were obtained. In this way, new multidimensional properties of pure and complex

Keywords: Multidimensional complex vectors, Multidimensional dot and cross products of two complex vectors, Multidimensional dot and cross products of three complex vectors

vectors definitions were found.