Vector addition combines displacements component by component.
WHAT HAPPENS IF…What is (2,−1)+(−3,4)?
Interactive exploration
Loading the mathematical model…
Connect the picture to the idea(ux,uy)+(vx,vy)=(ux+vx,uy+vy)
Following u then a translated copy of v gives the same total coordinate changes as following v then u. This is the parallelogram rule and commutativity in one picture. Opposite vectors cancel to zero.
A detail that matters
Vector lengths do not generally add to the length of the resultant.