Difference between revisions of "Vector quantity"

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(Clarified definition; added graphing example)
(Just noticed the article "vector space"... see also)
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A '''vector quantity''' is a measurement that contains both magnitude<ref>Stewart, James. ''Calculus: Early Transcendentals.  Brooks/Cole, 2008</ref> and directional information,<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref>.  It is different from a [[scalar quantity]], which contains only magnitude.
 
A '''vector quantity''' is a measurement that contains both magnitude<ref>Stewart, James. ''Calculus: Early Transcendentals.  Brooks/Cole, 2008</ref> and directional information,<ref>Wile, Dr. Jay L. ''Exploring Creation With Physical Science''. Apologia Educational Ministries, Inc. 1999, 2000</ref>.  It is different from a [[scalar quantity]], which contains only magnitude.
  
Vectors are usually graphed as arrows in a [[Cartesian coordinate system]], pointing from the origin to a point.
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Force is an example of a vector quantity, because it includes both a magnitude (push) and a direction (the direction the force is in).  For example, when an airplane is taking off, the air under the wings is exerting a force in an upward direction, gravity is exerting a force in a downward direction, the engine is exerting a force pushing the plane forward, while winds may be exerting forces from side to side.  
  
Force is an example of a vector quantity, because it includes both a magnitude (push) and a direction (the direction the force is in).
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Temperature is an example of a scalar quantity. The temperature is simply a number of units: normal body temperature is 37° Celsius. You can't speak of an upward temperature, or a northeast temperature; it has no direction. The temperature [[trend]] however does have a direction ([[up]] or [[down]]).
  
For example, when an airplane is taking off, the air under the wings is exerting a force in an upward direction, gravity is exerting a force in a downward direction, the engine is exerting a force pushing the plane forward, while winds may be exerting forces from side to side.
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For more detail on vectors, see [[vector space]].
 
 
Temperature is an example of a scalar quantity. The temperature is simply a number of units: normal body temperature is 37° Celsius. You can't speak of an upward temperature, or a northeast temperature; it has no direction. The temperature [[trend]] however does have a direction ([[up]] or [[down]]).
 
  
 
==References==
 
==References==

Revision as of 03:43, November 1, 2009

A vector quantity is a measurement that contains both magnitude[1] and directional information,[2]. It is different from a scalar quantity, which contains only magnitude.

Force is an example of a vector quantity, because it includes both a magnitude (push) and a direction (the direction the force is in). For example, when an airplane is taking off, the air under the wings is exerting a force in an upward direction, gravity is exerting a force in a downward direction, the engine is exerting a force pushing the plane forward, while winds may be exerting forces from side to side.

Temperature is an example of a scalar quantity. The temperature is simply a number of units: normal body temperature is 37° Celsius. You can't speak of an upward temperature, or a northeast temperature; it has no direction. The temperature trend however does have a direction (up or down).

For more detail on vectors, see vector space.

References

  1. Stewart, James. Calculus: Early Transcendentals. Brooks/Cole, 2008
  2. Wile, Dr. Jay L. Exploring Creation With Physical Science. Apologia Educational Ministries, Inc. 1999, 2000