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Introduction to Vectors
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Classroom Contents
Linear Algebra
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- 1 Introduction to Vectors
- 2 Length of a Vector in 2 Dimensions (examples)
- 3 1.1 Vector Addition
- 4 1.1 Multiplying a Vector by a Scalar
- 5 1.1 Vector Subtraction
- 6 1.1 Vectors with 3 components (3 dimensions)
- 7 1.1 Length of a 3-Dimensional Vector
- 8 1.1 Definition of R^n
- 9 1.1 Length of a Vector
- 10 1.2 Proof: Vector Addition is Commutative and Associative
- 11 1.2 Algebraic Properties of Vectors
- 12 1.3 Definition of the Dot Product
- 13 1.3 Dot Product - Angle Between Two Vectors
- 14 1.3 Find the Angle Between Two Vectors (example)
- 15 1.3 Orthogonal Vectors
- 16 1.3 Proof about the Diagonals of a Parellelogram