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.

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