Unit vector

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A unit vector is any vector that is one unit in length.

Unit vectors are often notated the same way as normal vectors, but with a mark over the letter (e.g. a-hat is the unit vector of a.)

To make a vector into a unit vector, divide it by its length: \widehat{u} = u / \lVert u \rVert

In component form[change | change source]

Three common unit vectors used in component form are i-hat, j-hat and k-hat, referring to the unit vectors for the x-, y- and z-axes respectively. They are commonly just notated as i, j and k.

They can be written as the following: Components i,j and k