Cálculo Vectorial
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Cálculo Vectorial

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1ROTACIONAL Empty ROTACIONAL Miér Nov 11, 2009 9:00 pm

mbeltranfreitecn2



Good nights partners, here I leave my contribution them.

It is said that a vectorial field F is a vectorial conserving field if it is the gradient of a function to climb, that is to say if: F (x, y, z) =  f (x, y, z)
for to function f.

A field is conserving if, and only if, the rotacional of this vectorial field in all the points is cero


Another interesting property is that the integral curves of a vectorial conserving field, so called lines of field, cannot be closed.


Any vectorial field of the type of inverse variation to the square (or of gravitational type) is conserving



Última edición por mbeltranfreitecn2 el Miér Nov 11, 2009 9:34 pm, editado 1 vez

mbeltranfreitecn2



To complement The gradient is said normally it denotes a direction in the space according to which it appreciates a variation of a certain property or physical magnitude.

Analytical a vectorial field is a function that it assigns to every value of the only value. The geometric representation of the vectorial fields is realized by means of the vectorial lines, so that the field is tangent to the vectorial line in all his points. So that if the differential element of the vectorial line is we have providing that it is parallel to. Due to the definition of vectorial field two vectorial lines can never be cut.

The relation that exists in these is that both try to measure the direction of the change in a field to climb; because of it it is said that the gradient of a field to climb is a VECTORIAL FIELD

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