# Unit-Vector

07-09-2022 || 00:55
Tags: #linear-algebra

# unit-vector

Unit vectors are vectors with magnitude of 1.

$$\overrightarrow{v} = (2 \hat{i} + 3 \hat{j} - 4 \hat{k})$$
$$magnitude( \overrightarrow{v} ) = \sqrt{2^2 + 3^2 + (-4)^2} = \sqrt{4 + 9 + 16} = \sqrt{29}$$

Also, the unit vector is known as the vector with unit norm.

$$||x||_{2} = 1$$