Question

Sean los vectores: u=(-1,4,6), v=(-1,-2,-3), w=(1,2,3). Hallar: u*v ½ u * 4 w

Answer 1

u = (-1,4,6)
v = (-1,-2,-3)
w = (1,2,3)

u×v×1/2u×4w

Vamos a realizar el ejercicio por partes

u×v = (-1,4,6)(-1,-2,-3) = (-1×-1)+(4×-2)+(6×-3) = 1-8-18 => -25

(1/2)u = (1/2)(-1,4,6) = (-1/2,2,3)

4w = 4(1,2,3) = (4,8,12)

-25×(-1/2,2,3)(4,8,12) =
(25/2,-50,-75)(4,8,12) = (25/2×4)+(-50×8)+(-75×12) =
50-400-900 = -1250

Respuesta => -1250

Saludos Ariel