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