Vectors with ratios on a line

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

Read the revision notes · IGCSE Maths past papers

A ratio between two pieces of a line can be turned into a fraction of the whole line by adding the ratio parts. This lets you find vectors to points on the line and complete vector proofs.

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
Proving two vectors are parallel
Proving points are collinear
Vector proofs with midpoints and medians