# Math Help - Length/unit vector

1. ## Length/unit vector

For vector v=<3,2,-4>, how do you find the length and the unit vector in the same direction?

2. ## Norm

All you gotta do is divide the vector by its length.

$|\vec{v}|=(\vec{v} \cdot \vec{v})^{1/2}$

So for any vector $\vec{v}$, you know that $\frac{\vec{v}}{|\vec{v}|}$ is a vector of unit length in the same direction as $\vec{v}$ you just multiplied it by a scalar to adjust its length to be 1.