Difference between revisions of "Unit vectors"
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+ | * Manfred Albach, ''Grundlagen der Elektrotechnik 1: Erfahrungssätze, Bauelemente, Gleichstromschaltungen'', 3. Edition (Pearson Studium, 2011) | ||
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Revision as of 11:18, 15 May 2014
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A unit vector is a vector with magnitude 1. The unit vector to a given vector can be determinde 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:
Example: Determination of the unit vector to a given vector
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)