Answer
$\mathbf{v}=-0.20\mathbf{i}+0.46\mathbf{j}$
Work Step by Step
Therefore,
$\begin{align}
& \mathbf{v}=\frac{1}{2}\cos {{113}^{\circ }}\mathbf{i}+\frac{1}{2}\sin {{113}^{\circ }}\mathbf{j} \\
& =\left[ \frac{1}{2}\times \left( -0.39 \right) \right]\mathbf{i}+\left[ \frac{1}{2}\times \left( 0.92 \right) \right]\mathbf{j} \\
& =-0.20\mathbf{i}+0.46\mathbf{j}
\end{align}$
