q = $\left(\begin{array}{c}-2\\ 3\end{array}\right)$

r = $\left(\begin{array}{c}3\\ -2\end{array}\right)$

q - r = $\left(\begin{array}{c}-2\\ 3\end{array}\right)$ - $\left(\begin{array}{c}3\\ -2\end{array}\right)$

q - r = $\left(\begin{array}{c}\mathrm{-2\; -\; 3}\\ \mathrm{3-(-2)}\end{array}\right)$

q - r = $\left(\begin{array}{c}-5\\ \mathrm{3+2}\end{array}\right)$

q - r = $\left(\begin{array}{c}-5\\ 5\end{array}\right)$

If AB is a vector from A to B, then its negative vector is BA and it is from B to A. i.e., just multiplying by a negative sign changes the direction of the vector. In this case, we can say AB = - BA and BA = - AB. Also, |AB| = |BA|. Hence, AB and BA are the negatives of each other.

Negating A Vector

NOTE: - x - = +

Applying the addition rule

Now add a and b