Difference between revisions of "Unit vectors"
From Robotics
Line 34: | Line 34: | ||
</math> | </math> | ||
}} | }} | ||
+ | |||
+ | [[Category:Article]] |
Revision as of 11:17, 15 May 2014
← Back: Vector algebra | Overview: Vector algebra | Next: Simple arithmetic operations → |
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: |