What are vectors? Part 4, the Euclidean n-space

In this video, we introduce the Euclidean 3-space R^3 and higher dimensional Euclidean spaces, R^n. Learning objectives: 1. What is R^3? How many components does a vector in R^3 have? 2. What is R^n? Take-home messages: 1. R^3 is the set of all 3-tuples whose components are real numbers. 2. Geometrically, R^3 represents the 3-dimensional space. 3. R^n is the set of all n-tuples with real components.