10.8 Exercise 36

Determine whether the two vectors $u$ and $v$ are equal, where $u$ has an initial point $P_{1}$ and a terminal point $P_{2}$ and $v$ has an initial point $P_{3}$ and a terminal point $P_{4}$.

Given initial point $P_{1} = \left(6 , 0\right)$ and terminal point $P_{2} = \left(- 1 , - 3\right) ,$ write the vector $v$ in terms of $i$ and $j .$