Answer
$4i-6j$
Work Step by Step
If a vector $v$ initiates at point $P(x_1,y_1)$ and terminates at $Q(x_2,y_2)$ then
$v=(x_2-x_1,y_2-y_1)\\
v=(x_2-x_1)i+(y_2-y_1)j$
Hence, here we have
$v=[3-(-1)]i+(-4-2)j\\
v=(3+1)i+(-6)j\\
v=4i - 6j$