Subtraction of Vectors

The subtraction of vectors is accomplished in the same way as the addition of vectors:

Definition

Let a, b, and c be vectors of the same order and form. The difference vector c := a - b  is then calculated by subtracting the corresponding elements of the vectors a and b: c_k := a_k - b_k.

Subtracting two equal vector results in a vector with all elements being zero. This vector is also called a zero vector, usually depicted by o.