Here is a diagram showing how vectors can describe a journey round a square:
 


The journey starts along the black vector $\pmatrix{3\cr 1}$
What vectors describe the rest of the journey?
 
There are many interesting mathematical questions about vectors that describe journeys.

Explore journeys round various squares of your own and see what you can find out.


If you would like some ideas of interesting questions to explore, take a look below.