# 1 Vectors in Euclidean space

To begin our journey into Linear Algebra, we will start by introducing the idea of a vector in Euclidean space. In two or three dimensions, we often represent vectors as arrows with a certain length and direction starting from some reference point. Vectors can also be thought of as an ordered list of numbers, and it is this approach that we will mainly use in order to work more generally in \(n\)-dimensional space.