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Consider the vector $\overrightarrow{u}=(\sqrt{3};1)$. Find the vector $\overrightarrow{w}$ such that $\left|\overrightarrow{w}\right|=4$ and the angle between $\overrightarrow{u}$ and $\overrightarrow{w}$ is ${60}^{\circ }$. Find all solutions.