# Find a unit vector v of u = (1, -2, 2, 3) in the direction of u.

To find the unit vector in the same direction as a vector, we divide it by its magnitude.

The magnitude of v is $$\sqrt{1^2 + (-2)^2 + 2^2 + 3^2}$$ = $$\sqrt{18}$$

We will divide $$\vec{u}$$ by magnitude of $$\vec{v}$$. So,

$$\left ( \frac{1}{\sqrt{18}}, \frac{-2}{\sqrt{18}}, \frac{-2}{\sqrt{18}}, \frac{3}{\sqrt{18}} \right )$$