Answer
$v=-\frac{\sqrt 2}{4}i+\frac{\sqrt 2}{4}j=⟨-\frac{\sqrt 2}{4},-\frac{\sqrt 2}{4}⟩$
Work Step by Step
$v=||v||(cos~θ)i+||v||(sin~θ)j$
$v=\frac{1}{2}(cos~225°)i+\frac{1}{2}(sin~225°)j$
$v=\frac{1}{2}(-\frac{\sqrt 2}{2})i+\frac{1}{2}(-\frac{\sqrt 2}{2})j=-\frac{\sqrt 2}{4}i+\frac{\sqrt 2}{4}j$
