Answer
$ 5 \sqrt 2i -5 \sqrt 2 \ j$
Work Step by Step
If a vector $v$ initiates at point $A(x_1,y_1)$ and terminates at $B(x_2,y_2)$, then
$v =\lt x_2-x_1, y_2-y_1 \gt =(x_2-x_1)i+(y_2-y_1) \ j$
Here, we have: $A=(3\sqrt 2, 7 \sqrt 2)$ and $B=(8\sqrt 2, 2 \sqrt 2)$
Therefore, $v=(8\sqrt 2-3 \sqrt 2)i+(2\sqrt 2-7 \sqrt 2) \ j \\= 5 \sqrt 2i -5 \sqrt 2 \ j$
