Realice las siguientes operaciones, dados los vectores : u = ( - 3, 2, 1, 0) v = (5, - 3, 6, 1) y w = (3, - 2, 8, 1). A) v - w B) 2u + 8v C) 6(u - 2v) D) (4v - w) - (5u + v).
En resumen
A) v - w = (2, - 1, - 2, 0) B) 2u - 8v = ( - 46, 28, - 46, - 8) C) 6 * (u - 2v) = ( - 78, 48, - 66, - 12) D) (4v - w) - (5u + v) = (27, - 17, 5, 2) Explicación.
A) v - w = (2, - 1, - 2, 0)
B) 2u - 8v = ( - 46, 28, - 46, - 8)
C) 6 * (u - 2v) = ( - 78, 48, - 66, - 12)
D) (4v - w) - (5u + v) = (27, - 17, 5, 2)
Explicación.
Siendo los vectores :
u = ( - 3, 2, 1, 0)v = (5, - 3, 6, 1)w = (3, - 2, 8, 1)
A) v - w = (5, - 3, 6, 1) - (3, - 2, 8, 1) = (2, - 1, - 2, 0)
B) 2u - 8v = 2 * ( - 3, 2, 1, 0) - 8 * (5, - 3, 6, 1) = ( - 46, 28, - 46, - 8)
C) 6 * (u - 2v) = 6 * (( - 3, 2, 1, 0) - 2 * (5, - 3, 6, 1)) = ( - 78, 48, - 66, - 12)
D) (4v - w) - (5u + v) = (4 * (5, - 3, 6, 1) - (3, - 2, 8, 1)) - (5 * ( - 3, 2, 1, 0) + (5, - 3, 6, 1)) = (27, - 17, 5, 2).
A. 7( - 2, 2) + (4, 3) = ( - 14, 14) + (3, 3) = (10, 17) b. (4, 3) + ( - 2, 2) + (7, 2) = (9, 7) c. [(4, 3) - ( - 2, 2)] + (7, 2) = [(4, 3) + (2, - 2)] + (7, 2) = (13, 3) d. (7, 2) - ( - 2, 2) - (4, 3) = (7, 2) + (2, -…
Para la multiplicación de un escalar(el - 5), por un vector, tenemosque : Y para la suma de vectores, tenemos que : .