Vectors

This topic introduces learners to the concept of vectors as quantities having both magnitude and direction. Students will differentiate between scalar and vector quantities, represent vectors diagrammatically, and perform basic vector operations such as addition, subtraction, and scalar multiplication. The topic lays the foundation for motion analysis, navigation, and geometry, giving learners practical tools to solve problems involving movement and position.

Learning Outcomes:
The learner should be able to:

• Define vectors and distinguish them from scalars.
• Represent vectors using diagrams and coordinate notation.
• describe position vectors geometrically and as column vectors.
• Perform vector operations including addition, subtraction, and scalar multiplication
• find the vector of a directed line segment when position vectors of the end points are known.
• find the position vector of the midpoint of a line segment.
• use vector method to divide a line proportionately internally and externally.
• use vectors to show parallelism.
• use vector methods to show collinearity.
• Solve geometrical problems involving vector relationships.