Vector proofs with midpoints and medians revision notes

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

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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