<<  Previous    answermath HOME   answermath en Español       Loan Calculator Find any Print, Poster Next >>    
  Electromagnetism: Fields ▫ Electricity ▫ Magnetism ▫ Induction     Artificial Intelligence Tutorials: Data Mining Neural Networks Fuzzy Logic Genetic Algorithms    
  Practice on line: Addition Subtraction  Multiplication Division Root Exponentiation Sine Cosine Tangent Fuzzy   Mental math Tips: Addition ▫ Subtraction Multiplication Division Sine Cosine Tangent  


1.2.1 Rectangular

In this system, as indicated in figure [1], any point P can be identified using it’s three coordinates,

xp , yp , zp    (1)



The unitary vectors that indicate the direction in which the coordinates grow are:


It’s important that the three axis are oriented toward space in a way that


the differential displacement along the mentioned directions will be,

dx , dy , dz   (4)

a generic displacement of point P


In figure [2], a differential volume element is shown as well as the differential elements of area that encloses it. The differential element of volume is equal to,

dV = dx dy dz   (6)


the perpendicular faces to axis z have a differential area equal to,

dSz = dx dy   (7)

frequently, the elements of area are expressed with a vector quantity, in which case, the module of the vector is the element’s area and the direction of the vector is along the  perpendicular and oriented towards the exterior side. For example, the area element furthest from the center and perpendicular to axis z will have the following vector representation,


it’s opposite element will be



  Web http://www.answermath.com

| Home | Suggest a link  | Send Comments  | Disclaimer | PrivacyPolicy | Links | Help |

Copyright 2000 - wgonz @ email.com - All  Rights   Reserved