Change the direction of the vectors by dragging the arrows around. The variable at the bottom of the screen displays the angle between the two vectors in degrees. It will always display the smaller of the two possible angles. *note: If you place both arrows directly on top of each other they will stick together and are hard to separate. You have been warned.
This is done using cross products. The cross product of two vectors is equal to the product of both of their magnitudes multiplied by the cosine of the angle between them.