Sum of vectors

The sum of vectors, having the beginning and end of segments with arrows indicating their direction in space, is determined by geometric addition or by solving systems of equations. When obtaining the resultant vector from the geometric addition of two vectors located in two-dimensional or three-dimensional space, one of the vectors constructed in a certain scale in the coordinate system is shifted parallelly, with its beginning moved to the end of the other vector. The resultant vector will be a segment from the origin to the end of the displaced vector.

The calculator allows you to obtain the resulting equation based on given values. For each of the two vectors being added, three initial values of their spatial positioning are given. An example of the resulting equations can be given as: 300i+500j+700k.

The addition of vectors occurs in various complex construction, electrical engineering, and other calculations. One direction is determining the values of current and voltage in electrical engineering by constructing vector diagrams of single-phase and three-phase alternating current circuits. Such calculations are performed in strength of materials and other engineering fields.