Answer
$\mathbf{v}=-0.23\mathbf{i}-0.09\mathbf{j}$
Work Step by Step
Therefore,
$\begin{align}
& \mathbf{v}=\frac{1}{4}\cos {{200}^{\circ }}\mathbf{i}+\frac{1}{4}\sin {{200}^{\circ }}\mathbf{j} \\
& =\left[ \frac{1}{4}\times \left( -0.9397 \right) \right]\mathbf{i}+\left[ \frac{1}{4}\times \left( -0.3402 \right) \right]\mathbf{j} \\
& =-0.23\mathbf{i}-0.09\mathbf{j}
\end{align}$
