ejercicio 1 y 3 geometria vectorial

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geometría vectorial

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Ejercicio 1.(a-b) x (a + b) = axa + axb - bxa - bxbaxa = 0 y bxb = 0-bxa = axb Entonces:(a-b) x (a + b) = axb + axb = 2 (axb)

Ejercicio 2

d1 (4, 2, -1) d2 (7, -1, 3) d3 (1, -2, 5)

Entonces,

d1 d2 = (4, 2, -1) (7, -1, 3) = (36, 18, -9)

Finalmente,

(d1 d2) d3 = (36, 18, -9) (1, -2, 5) = 36(1) + 18(-2) + (-9)(5) = -45

Volumen = | (d1 d2) d3 |= | -45 | = 45 u3

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