# Chapter 13 - Vector Geometry - 13.1 Vectors in the Plane - Exercises - Page 650: 48

$$v= \langle \sqrt 3 ,1\rangle.$$

#### Work Step by Step

A vector $v$ of length $2$ is given by $$v=2\langle \cos 30, \sin 30\rangle=2\langle \frac{\sqrt 3}{2},\frac{1}{2}\rangle=\langle \sqrt 3 ,1\rangle.$$

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