Vectors
Learning Time: 3-10 hours
Content: Vectors are a subject that examines physical quantities that have magnitude and direction. This subject covers the definition of vectors, addition and subtraction (triangle and parallelogram rules), separation into components, unit vectors, and scalar multiplication. The TYT exam focuses on vector addition and components, while the AYT exam focuses on complex vector operations and applications. The current 2025 curriculum also covers the use of vectors in navigation systems and robotic design. Learning this topic provides the foundation for mechanical and electromagnetic problems.
- Definition and Properties of Vectors:
- Vector Concept (Magnitude and Direction)
- Scalar-Vector Difference
- Representation of Vectors (Arrows and Coordinates)
- Vector Operations:
- Vector Addition (Triangle and Parallelogram Rule)
- Vector Subtraction
- Scalar Multiplication (Minitude Multiplication)
- Vector Components:
- Separation into Components (x and y Components)
- Unit Vectors (i, j, k)
- Addition and Subtraction by Components
- Vector Multiplication:
- Scalar (Dot) Multiplication (AB = |A||B|cosθ)
- Vector (Cross) Product (A×B and Area Calculation)
- Applications (Torque and Area)
- Applications:
- Navigation and GPS Systems
- Robotic Motion Control
- Force and Velocity Analysis
- Affecting Factors:
- Coordinate System Selection
- Reference Frame
- Calculation Accuracy
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
