Answer
horizontal, $5\sqrt 2$, vertical $-5\sqrt 2$
Work Step by Step
1. Based on the given points, we have
$\vec v=\vec{P_1P_2}=(8\sqrt 2-3\sqrt 2)i+(2\sqrt 2-7\sqrt 2)j=5\sqrt 2i-5\sqrt 2j$
2. Thus we have the horizontal component as $5\sqrt 2$ and vertical component as $-5\sqrt 2$
