Definition:Vector Subtraction

Definition
Let $\mathbf x$ and $\mathbf y$ be vectors of an $n$-dimensional vector space.

Then the operation of (vector) subtraction on $\mathbf x$ and $\mathbf y$ is defined as:
 * $\mathbf x - \mathbf y := \mathbf x + \paren {-\mathbf y}$

where $-\mathbf y$ is the negative of $\mathbf y$.

The $+$ on the is vector addition.