Unit vectors
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A unit vector is a vector with magnitude 1. The unit vector to a given vector can be determined by dividing the given vector by its magnitude :
The vector has the magnitude 1 (so ) and is pointed to the direction of . So every vector can be described by its magnitude (so a scalar value) and the corresponding unit vector. Therefore can also be written as follows:
How arithmetic operations like fractions are handled exactly, is described in the article about simple arithmetic operations.
Hint: For detailed information about the handling of arithmetic operations please have a look on the article about simple arithmetic operations To the given vector the corresponding unit vector shall be determined: The calculation of the magnitude shows thats it equals 1 indeed: 
Literature
 Manfred Albach, Grundlagen der Elektrotechnik 1: Erfahrungssätze, Bauelemente, Gleichstromschaltungen, 3. Edition (Pearson Studium, 2011)