Proving two vectors are parallel

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

Two vectors are parallel when one is a scalar multiple of the other. Work out both vectors in terms of the given vectors, show the multiple, then state in words that the lines are parallel.

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 points are collinear
Vector proofs with midpoints and medians