xxxxxxxbuena-Algebra-Lineal.docx - Desarrolla los...

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Desarrolla los siguientes ítems luego de leer detenidamente los conceptos de la unidad 1, referentes a vectores y operaciones con vectores en R2 y R3. Presentar la solución con editor de ecuaciones. a) Hallar módulo, dirección, y sentido del siguiente vector: Fig 1. Representación gráfica de un vector. Respuesta: r 2 = 12 2 + 9 2 r = 12 2 + 9 2 r = 144 + 81 r = 225 r = 15 tan θ = 9 12 θ = t an 1 9 12 θ = 6,97 La orientación o sentido del vector es de 83,03 Noroeste, ya que se restan los 6,97 a los 90°. Su magnitud es de 15. b) Dados los siguientes vectores en forma polar | u | = 2 = 120 ° | v | = 3 = 60 ° Realice analíticamente, las operaciones siguientes:
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´ v −´ u 5 ´ v 2 ´ u Respuesta al punto 5 ´ v 2 ´ u Lo primero a realizar es hallar las componente en “x” y “y” Ux = 2 x cos ( 120 ) Uy = 2 x sen ( 120 ) Ux =− 1 Ux = 1,7 Las componentes del vector u son (-1,1,7) Ahora hallamos las componentes del vector v. V x = 3 x cos ( 60 ) V y = 3 x sen ( 60 ) V x = 1,5 Vy = 2,6 Las componentes del vector v son (1.5,2.6) Ahora hacemos las multiplicaciones correspondientes como nos pide el ejercicio.
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  • Spring '19
  • VICO
  • Punto, 90°, 60°, Producto vectorial, 120 °

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