Vector addition is a fundamental operation in mathematics and physics that combines two or more vectors to produce a resultant vector. Unlike scalar addition, vector addition takes into account both the magnitude and direction of each vector. The resultant vector represents the combined effect of all the individual vectors and is found by summing the corresponding components.

There are two primary methods for vector addition: the head-to-tail method (graphical) and the component method (analytical). The component method, which this calculator uses, breaks each vector into its x, y, and z components, sums each component separately, and then combines them to find the resultant vector. This approach is more precise and works well for any number of vectors.

Direction angles (α, β, γ) are the angles that a vector makes with the positive x, y, and z axes, respectively. They are calculated using the inverse cosine (arccos) of the ratio of each component to the magnitude. These angles are useful for describing the orientation of a vector in space and are commonly used in physics and engineering applications.