# Unit Vector

**Unit Vector**:

A **unit vector** is a vector that has a magnitude of exactly 1 unit and points in a particular direction.

A unit vector lacks both unit and dimension , But it have a magnitude of a unit and a certain direction. It’s sole purpose is to point toward a direction.

A unit vector is denoted by a letter above which a hat ( ) is placed.

The unit vector along any vector ( say vector a ( ) ) is calculated using the formula:

Or by dividing the vector by it’s magnitude.

**Unit Vector along x , y & z axes**:

The unit vectors along x , y and z axis are denoted by , and respectively. as shown in the figure below:

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