Answer
$\mathbf{v}=5\sqrt{3}\mathbf{i}-5\mathbf{j}$
Work Step by Step
Therefore,
$\begin{align}
& \mathbf{v}=\parallel v\parallel \cos {{330}^{\circ }}\mathbf{i}+\parallel v\parallel \sin {{330}^{\circ }}\mathbf{j} \\
& =\left[ 10\times \left( \frac{\sqrt{3}}{2} \right) \right]\mathbf{i}+\left[ 10\times \left( -\frac{1}{2} \right) \right]\mathbf{j} \\
& =5\sqrt{3}\mathbf{i}-5\mathbf{j}
\end{align}$
