ABSTRACT
In this chapter, the multiplicative vector space https://www.w3.org/1998/Math/MathML"> ℝ ⋆ 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003325284/2bdd3096-1af8-4bac-8a43-bb6d3f558838/content/math2_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , the multiplicative inner product space https://www.w3.org/1998/Math/MathML"> ℝ ⋆ 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003325284/2bdd3096-1af8-4bac-8a43-bb6d3f558838/content/math2_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and the multiplicative Euclidean space https://www.w3.org/1998/Math/MathML"> E ⋆ 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003325284/2bdd3096-1af8-4bac-8a43-bb6d3f558838/content/math2_3.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> are introduced and investigated. Multiplicative lines are defined and their equations are deduced. Perpendicular, parallel and intersecting multiplicative lines are defined and studied. In the chapter, multiplicative isometries, multiplicative translations, multiplicative rotations and multiplicative glide reflections are developed.
