# Adding and Subtracting Vectors

You can add and subtract vectors on a graph by beginning one vector at the endpoint of another vector. You add and subtract vectors component by component, as follows:

When you add or subtract two vectors, the result is a *vector.*

Geometrically speaking, the net effects of vector addition and subtraction are shown here. In this example, the endpoint of **r **+ **s** is equivalent to the endpoint of **s **when **s** begins at the endpoint of **r**. Similarly, the endpoint of **r** – **s** is equivalent to the endpoint of –**s **— that is,