Answer :

Given:-

[tex](3,6)(4,-2)[/tex]

To find:-

[tex]t=ai+bj[/tex]

So now. we simplify,

[tex]\begin{gathered} t=ai+bj \\ t=(-6-(-3))i+(-1-(-2))j \\ t=-3i+j \end{gathered}[/tex]

So the required solution is,

[tex]t=-3i+j[/tex]