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Anólisis de vectores tangente y normal unitario de funciones vectoriales en dos dimensiones
| Dominio de las Ciencias
Anólisis de vectores tangente y normal unitario de funciones vectoriales en dos dimensiones
Vector tangente unitario, vector normal unitario, funciones vectoriales.
Resumen
El cólculo de vectores tangente y normal unitarios de funciones vectoriales, resulta un proceso que reviste encontrar las derivadas de la función vectorial, encontrar los módulos de los vectores y aplicar la definición quedando expresiones en ocasiones muy extensas, mós aíºn cuando se calcula las derivadas presentes en la definición del vector normal unitario. Se puede abreviar este proceso cuando se evalíºan estos vectores en un punto específico de la función vectorial, teniendo en cuenta el sentido de la trayectoria, lo que permitiró determinar el sentido del vector tangente y por ende el del vector tangente unitario, para luego aplicar la geometría determinóndose que los vectores tangente y normal unitario son perpendiculares entre sí de módulo 1 y tienen la componentes intercambiadas en orden esto es la componente x del vector tangente unitario es la componente y del vector normal unitario, a su vez la componente y del vector tangente unitario es la componente x del vector normal unitario, los sentidos o signos de dichas componentes se toma considerando que el vector normal unitario siempre se encuentra dirigido al centro de curvatura del sector de curva alrededor del punto de anólisis.
Biografía del autor/a
Romel Manolo Insuasti Castelo
Magíster en Matemática Básica, Ingeniero Mecánico, Docente en la Carrera de Ingeniería Automotriz, Escuela Superior Politécnica de Chimborazo, Riobamba, Ecuador.
Denise Cristina Insuasti Guamantaqui
Ingeniera en Electrónica Control y Redes Industriales, Maestría (c) en Matemática Aplicada con Mención en Matemática Computacional, Certificación en Prevención de Riesgos Laborales, Prevención de Riesgos Laborales, Universidad Nacional de Chimborazo, Riobamba, Ecuador.
Luis Carlos Quilligana Guachi
Magíster en Pedagogía de la Matemática, Licenciado en Ciencias de la Educación, Unidad Educativa "Bautista", Instituto Superior Tecnológico España, Ambato, Ecuador.
Citas
Castelnuovo, G.; Lecciones de Geometría Analíticaâ€. Editorial Mundo Científico. Edición 1943.
Insuasti Castelo, R. M., Insuasti Guamantaqui, D. C., & Quilligana Guachi, L. C. (2022). Anólisis de vectores tangente y normal unitario de funciones vectoriales en dos dimensiones. Dominio De Las Ciencias, 8(3), 1246–1255. https://doi.org/10.23857/dc.v8i3.2869
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