Question

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)

Answer 1

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)