Euclidean Vector Spaces - Euclidean Spaces

• is a type of mathematical space
• is a finite-dimensional inner product space over the real numbers
• is the normed vector space (𝑉,𝐹,||·||) with a coordinate system and with Euclidean norm (||·||₂) as its norm (||·||)
• the totality of 𝑛-space is commonly denoted ℝ^𝑛

Euclidean Space - Types

• ℝ¹ = ℝ is the set of real numbers (i.e., the real line)
• ℝ² is called the Euclidean Plane
• ℝ³ is called the 3D Euclidean Space