Adding two vectors is accomplished by adding the corresponding components. For instance,
\[ (1,2,3) + (4,5,6) = (1+3, 2+4, 3+6) = (4, 6,9) \]
A visual method for finding the sum of vectors is the parallelogram law, illustrated in this applet. The two original vectors, shown in blue and red, represent two adjacent sides of a parallelogram. The diagonal of this parallelogram is the sum of the two vectors, shown in purple.

Change the vectors by dragging the arrows. The information about each vector and their sum will be updated automatically.

This applet was created using JavaScript and the Raphael library. If you are unable to see the applet, make sure you have JavaScript enabled in your browser. This applet may not be supported by older browsers.