Definition, Cummutative and Associative LawsThe sum of two vectors, written C=A+B, is defined as the vector that results from following vector A to its head and then placing vector B's tail at the head of A and following it in turn.
In Cartesian coordinates, this sum is particularly straightforward:
- Cx = Ax + Bx
Cy = Ay + By
Cz = Az + Bz
Vector addition is commutative and associative: the order of addition is generally irrelevant:A + B = B + A(A + B)+ C = A + (B+C)