Vector addition is the operation of adding together two vectors in mathematics. For example, the general form of adding together two vectors is shown below.

Visually, the addition of two vectors can be illustrated by placing the vectors “tip-to-tail” and drawing the resulting vector from the start of the first vector to the end of the second vector. This is shown in the image below.

The math expression corresponding to the graphic above is written below.

After adding together the components the resulting vector is shown below.