VECTORS IN THE PLANE
1. ANALYSIS OF VECTORS GEOMETRICALLY
A. BASIC VECTOR CONCEPTS
1. Directed Line Segment
2. Definition of a Vector
3. Equal Vectors
B. VECTOR OPERATIONS
1. Addition of Vectors
2. Subtraction of Vectors
3. Multiplication of a Vector by a Scalar
C. PARALLEL VECTORS
1. Parallel Vectors
2. Non-Parallel Vectors
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2. ANALYSIS OF VECTORS ANALYTICALLY
A. BASIC CONCEPTS OF VECTORS IN THE ANALYTIC PLANE
1. Axioms
2. The Rectangular Coordinate System
3. Position Vector
4. Components of a Vector
5. Equal Vectors
B. VECTOR OPERATIONS
1. Addition of Vectors
2. Subtraction of Vectors
3. Multiplication of a Vector by a Scalar
4. Standard Base Vectors
C. VECTOR APPLICATIONS
D. PARALLEL VECTORS
E. LINEAR COMBINATION OF VECTORS
1. Linear Combination of Vectors
2. Linearly Dependent and Independent Vectors (OPTIONAL)
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3. THE DOT PRODUCT OF TWO VECTORS
A. DOT PRODUCT
1. Properties of the Dot Product
B. ANGLE BETWEEN TWO VECTORS
1. Angle Between Two Vectors
2. Perpendicular and Parallel Vectors
C. COMPONENT OF u ALONG v (OPTIONAL)
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