Vector proofs with midpoints and medians

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

Midpoints and ratios let you write unknown vectors as fractions of known routes. To prove points are collinear, find two vectors from the same point and show that one is a multiple of the other.

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
Proving points are collinear