IGCSE Maths: Vectors

Overview

Vectors is an Extended-only topic that many students find challenging because it combines algebra with geometry. Questions often require proving that points are collinear or finding ratios using vector pathways.

Extended Syllabus Topics

• Column vectors
• Vector addition and subtraction
• Scalar multiplication
• Position vectors
• Magnitude of a vector
• Vector geometry and proofs
• Midpoint and ratio problems

Common Mistakes to Avoid

• Incorrect direction when tracing vector pathways
• Confusing position vectors with displacement vectors
• Forgetting that parallel vectors are scalar multiples
• Not simplifying final vector expressions