Proving points are collinear

Edexcel International GCSE Maths (4MA1), chapter 27: Vectors, specification point 5.1g. Part of the full course.

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To prove points are collinear, show that two vectors are multiples of each other and that they share a point. The shared point shows that the vectors lie on the same straight line, not just on separate parallel lines.

More lessons in Vectors

What is a vector
Column vector notation
Directed line segment notation
Magnitude of a vector
Adding and subtracting column vectors
Resultant of two or more vectors
Subtracting vectors in a diagram
Multiplying a vector by a scalar
Finding a route through a vector diagram
Vectors with ratios on a line
Proving two vectors are parallel
Vector proofs with midpoints and medians