Difference between revisions of "Unit vectors"
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A unit vector is a vector with magnitude 1. The unit vector to a given vector <math>\vec{\mathbf{a}}</math> can be determinde by dividing the given vector by its magnitude <math>|\vec{\mathbf{a}}|</math>: | A unit vector is a vector with magnitude 1. The unit vector to a given vector <math>\vec{\mathbf{a}}</math> can be determinde by dividing the given vector by its magnitude <math>|\vec{\mathbf{a}}|</math>: | ||
:<math> | :<math> |
Revision as of 16:03, 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: