repaso!!!!!

REPASO 1: PARA EL PRIMERO DE SEPTIEMBRE…

1] SEA M=( 2,-1,3)

V= (0,1,7)

W=(1,4,5)

REALIZAR LAS SIGUIENTES OPERACIONES:

a) (MXV) X (VXM)

b) MX (V-2W)

c) (MXV) -2W

a) MVW

[(-1) (7) – (1)(3)]-m[(2)(7)-(3)(0)]+V[(2)(1)-(0)(-1)]=

[(-7)-(3)]-[(14)-(0)]-[(2)-(-1)]

= (-10i,-14j,2k)

(vxw)

[(1)(5)-(4)(7)]-V[(0)(5)-(1)(7)]+[(1)(1)-(0)(4)]=

[(5)-(28)]-V[(0)-(7)]+[(1)-(0)]

= (-23i,7j,-1k)

[(-14)(-1)-(-7)(2)]-i[(-10)(-1)(-23)(2)]+j[(-10)(7)(-23)(-14)]

[(14)-(-14)]-i[(10)(-43)]+j[(-70)(322)]

= (-28i,-46j,252k)

B) VX(V-2W)

= VX [(0,1,7) -2 (1,4,5)] =VX [(0,1,7) -(2,8,10)] =VX [(-2,-7,-3)] =M(0,1,7) X (-2,-7,-3) = [-49+3]i-[0+14]j+[0+2]

= -46i,-14j,


c) (MXV) - 2W =

[(-1)(7)-(3)]i-[(2)(7)-(0)]j-[(2)-(0)]k =

(-10i,-14j,2k)

2w=( 2,8,10)

= [16+14]i-[-100-14]j + [-80 +28]

= (124i,-104j,-52k)

2) HALLAR EL AREA DEL TRIANGULO QUE TIENE VERTICES P,Q,R.

P(2,0,-3)

Q(1,4,5)

PQ = (-1,4,8 ) PR= (5,2,12) =(32,52,-22) = || PQXPR|| = A=56.95/2 = 32.45