Dados los vectores a ⃗ = (2, 4, 5), b ⃗ = (1, - 2, 4) y c ⃗ = (6, 1, 2) Halle : ‖〖Proy〗_(5b ⃗) ^ (2a ⃗ ) + b ⃗xc ⃗ ‖ - [c ⃗?

Dados :

a = (2, 4, 5)

b = (1, - 2, 4)

c = (6, 1, 2)

Encontrar :

||((5b) (2a) + b ) * c|| - (c * a * b)

Sustituyendo los valores vectoriales :

||(5(1, - 2, 4) (2(2, 4, 5) + b) * (6, 1, 2)|| - ((6, 1, 2) (2, 4, 5) (1, - 2, 4))

Resolviendo las operaciones, tenemos que :

||((5, - 10, 4)(4, 8, 10) + (1, - 2, 4)) * (6, 1, 2)|| - ((12 + 4 + 10)(1, - 2, 4))

||(5, - 10, 4)(5, 6, 14) (6, 1, 2)|| - ((26(1, - 2, 4))

||(25, - 60, 56)(6, 1, 2)|| - (26 - 52 + 104)

||(150 - 60 + 112|| - (78)

202 - 78 = 124 u.