Unit vector equation

This Unit vector equation supplies step-by-step instructions for solving all math troubles.

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How to calculate the Unit Vector?

The normalized vector û of a non-zero vector u is the unit vector in the direction of u, i.e., u ^ = u | u | {\displaystyle \mathbf {\hat {u}} ={\frac {\mathbf {u} }{|\mathbf {u} |}}} where |u| is the norm

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Unit Vector

The unit vector of a vector is found by dividing the vector by its modulus. The modulus of a vector is the magnitude of the vector. It is represented by symbol ‘ ‘(hat or cap)

Finding the Unit Vector of a Vector

Unit vectors are commonly used to indicate a vector’s direction. The direction of a unit vector is the same as that of the provided vector, but its magnitude is one unit. Formula

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Worked example: finding unit vector with given direction (video)

To find the unit vector u of the vector you divide that vector by its magnitude as follows: Note that this formula uses scalar multiplication, because the numerator is a vector