REPASO

Si:

m= (2, -1, 3)
v= (0, 1, 7)
w= (1, 4, 5)

a) m x (v x w)

v x w = ((1) (5)-(7)(4)) i - ((0)(5)) - (1)(7)) j + ((0)(4) - (1)(1)) k=

v x w = -23 i + 7 j - 1 k

m x (v x w) = ((-1)(-1) - (7)(3)) i - ((2)(-1) - (-23)(3)) j + ((0)(7) - (-23)(-1)) k

m x (v x w) = 20 i - 6+7 j - 9 k

= - 56

b) (m x v) x w

m x v = ((-1)(7) - (1)(3)) i - ((2)(7) - (0)(3)) j + ((2)(1) - (0)(1)) k =

m x v = - 10 i - 14 j + 2 k

(m x v) x w = ((-4)(5) - (4)(2)) i - ((-10)(5) - (1)(2)) j + ((-10)(4= - (1)(-9)) k

(m x v) x w = - 28 i +52 j -36 k

= - 12

c) (m x v) - 2 w

= ((-4)(-10) - (-8)(2)) i - ((-10)(-10) - (2)(2)) j + ((-10)(-8) - (-2)(-4))
= 56 i - 104 j + 72 k
= 24