GCSE Maths (Edexcel)

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Collinear Points

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Geometry and Measures Vectors

Collinear Points

4:33 Vector Problem Solving
Spec G25
Previous Parallelogram Law Next Splitting Vectors
  • Points are collinear if they lie on the same straight line
  • Collinear points are joined by parallel vectors
  • To prove collinearity, the vector from point A to point B must be parallel to the vector from point B to point C
  • Parallel vectors must share a common point
  • The equation for collinear points is vector AB = k vector BC, where k is a number
  • If the vectors satisfy this equation, the points are collinear
  • The equation can be used to prove collinearity in exam questions
  • In the example given, the vectors AB and BC satisfy the equation when k = 1/2
  • Therefore, the points A, B, and C are collinear

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