Analisis Vectorial
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ANÁLISISVECTORIAL
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Una rama de las matemáticas que se estudia en las carrerasingeniería en el ciclo básico es el Análisis Vectorial. Sus orígese remontan a fnes del siglo XVIII y a principios del siglo XIestán uertemente ligados con los inicios de la ísmatemática, la termodinámica, la !idrodinámica, la mecánicalos "uidos, la electricidad y el magnetismo. Una adecuconceptuali#aci$n de sus nociones es esencial para alumnos
carreras de ingeniería electr$nica, pues les proporc!erramientas básicas e indispensables para modelar di%een$menos ísicos, que pueden anali#arse matemáticamentpartir de una representaci$n %ectorial.
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Vectores y escalares&os elementos undamentales del análisis %ectorial son los %ectores y lUsaremos la notaci$n para denotar la recta num'rica que se asocia con e
n)meros reales, para denotar el plano cartesiano y para el espacio orddimensiones.
Vectores
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Se aplica lo siguiente+
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Escalares
ÁLGEBRA VECTORIALa) Suma de vectores
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) Multiplicació por u escalar
Le!es del "l#ebra vectorial
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VECTORES UNITARIOS
LOS VECTORES $NITARIOS RECTAN%$LARES& i' ('
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Compoetes de u vector
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DEPENDENCIA E INDEPENDENCIA LINEAL
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CAMPO ESCALAR
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CAMPO VECTORIAL
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