Introduction to Vectors: Operations and Geometry

What this note covers

1. 1. Vector Notation and Geometric Representation
2. 2. Magnitude, Direction, and Component Form
3. 3. Vector Addition, Subtraction, and Scalar Multiplication
4. 4. The Dot Product: Definition, Formula, and Geometric Meaning
5. 5. Angle Between Vectors, Parallel and Perpendicular Conditions
6. 6. Scalar and Vector Projections
7. 7. Geometric Applications and Proof Techniques

7 sections · 14 key terms & formulas · 6 common mistakes