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Vectors 1. Introduction to Vectors Definition and significance Notation and representation 2. Types of Vectors Zero Vector: Detinition and properties Unit Vector: Definition, representation, and examples Position Vector: Definition and applications Displacement Vector: Definition and relevance 3. Vector Addi n and Subtraction Graphical Method: Parallelogram law and triangle law Algebraic Method: Component-wise addition end subtraction Properties of Vector Addition and Subtraction: Commutativity. associativity 4. Resolution of Vectors Rectangular Components: X and Y components Resolving a Vector into Components: Examples and applications Vector Resolution in Different Coordinate Systems: Cartesian, Polar 5. Position and Displacement Vectors Position Vector: Definition, representation, and examples Displacement Vector: Calculation and interpretation 6. Product of Vectors Dot Product (Scalar Product): Definition, properties, and examples Cross Product (Vector Product): Definition, properties, and examples 7. Sine Law and Cosine Law Sine Law: Statement, proof, and applications 
