Difference between revisions of "Unit vectors"
From Robotics
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\vec{\textbf{a}} = \frac{\vec{\textbf{a}}}{|\vec{\textbf{a}}|} |\vec{\textbf{a}}| = \vec{\textbf{e}}_{a} |\vec{\textbf{a}}| | \vec{\textbf{a}} = \frac{\vec{\textbf{a}}}{|\vec{\textbf{a}}|} |\vec{\textbf{a}}| = \vec{\textbf{e}}_{a} |\vec{\textbf{a}}| | ||
− | </math> | + | </math><br/><br/> |
{{Example | {{Example |
Revision as of 16:23, 14 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: |