Answer :
We need to write the vector v in terms of i and j.
In order to do so, we can start by writing its initial and terminal points in terms of i and j:
[tex]\begin{gathered} P_1=(-1,6)=-i+6j \\ \\ P_2=(-6,4)=-6i+4j \end{gathered}[/tex]Thus, the vector v (terminal point minus initial point) is given by:
[tex]\begin{gathered} v=P_2-P_1 \\ \\ v=-6i+4i-(-i+6j) \\ \\ v=-6i+4i+i-6j \\ \\ v=-5i-2j \end{gathered}[/tex]Therefore, the answer is:
[tex]v=-5i-2j[/tex]