Addition and subtraction of vectors

Addition and subtraction of vectors are in demand in various engineering calculations, particularly in electrical engineering when constructing vector and circular diagrams. Addition and subtraction of vectors are carried out by their special construction in space and finding the resulting vector.

If it is required to add several vectors of different directions with different magnitudes, the initial point needs (.) A to place the first vector, then place the second vector with its end at the beginning of the first vector (to the tip of its arrow). If we connect the initial point of construction and the final point of the second vector, we get the resulting vector of the sum of two vectors.

If it is necessary to continue summation, the third vector is placed with its beginning at the end of the second vector, the resulting vector of the sum of three vectors will be equal to the vector with the beginning from (.) A and the end at the end of the 3rd vector. When subtracting a vector A from B we get the third vector, the geometric sum of which with B is equal to the magnitude of the vector A. When constructing, everything will be the same as in the previous case, only the arrow of the vector B will be directed to the arrow of the vector A.