The norm of a vector is its length. If $ A $ and $ B $ are two points (of a space of $ n $ dimensions) then the norm of the vector, noted with a do...

In a vector space of dimension $ n $, a vector $ \vec{v} $ of components $ x_i $ : $ \vec{v} = (x_1, x_2, ..., x_n) $ is computed by the square roo...

In the 2D plane, for a vector $ \vec{v} = (x,y) $ the formula is simplified $$ \|\vec{v}\|= \sqrt{x^2+y^2} $$ Example: $ \vec{v} = \left( \begin{a...

In 3D space, for a vector $ \vec{u} = (x,y,z) $ the formula is simplified $$ \|{\vec{u}}\|= \sqrt{x^2+y^2+z^2} $$

From the coordinates of the points $ A (x_A,y_A) $ and $ B (x_B,y_B) $ of the vector $ \overrightarrow{AB} $, the components of the vector are $ {\...