Enter the horizontal (x) and vertical (y) components of each vector, then select Calculate to add them.
Use this calculator to add two 2D vectors, inspect their direction and magnitude, and keep a record of calculations made on this page.
The Vector Addition Calculator is useful for quickly combining two two-dimensional vectors and visualising the resulting vector. It can be used in mathematics and physics education to demonstrate vector addition and reinforce the relationship between horizontal and vertical components, magnitude and direction.
It is also useful for practical calculations involving forces, velocities, displacements and other directional quantities, allowing students, teachers, engineers and other users to enter vector components, see how the vectors combine graphically, and review the numerical result.
Positive x values point right and positive y values point up. The resultant vector is found by adding the corresponding components.
The direction is measured in degrees anticlockwise from the positive x-axis.