Vector Subtraction
The negative of a vector $\mathbf{v}$, denoted by $-\mathbf{v}$, is the vector that has the same length as $\mathbf{v}$ but is oppositely directed, and the difference of $\mathbf{v}$ from $\mathbf{w}$, denoted by $\mathbf{w}-\mathbf{v}$, is taken to be the sum
$$
\mathbf{w}-\mathbf{v}=\mathbf{w}+(-\mathbf{v})
$$