Professor Gross introduces the arithmetic of vectors in terms of the structure of a game. In particular, he shows how the arithmetic of vectors helps us define planes and lines analytically.

Lecture 1: The "Game" of Mathematics

Lecture 2: "Arrow" Arithmetic

Lecture 3: Three-Dimensional Vectors

Lecture 4: The Dot Product

Lecture 5: The Cross Product

Lecture 6: Equations of Lines & Planes