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Exercise 1 Halle la distancia entre el punto P1=(2,3,5)P1=(2,3,5) y la recta

Tenemos que los siguientes datos:

Reemplazamos en la formula de la distancia la cual es:

red sage] blue x=var('x')

red sage] blue y=var('y')

red sage] blue z=var('z')

red sage] blue A=matrix([[x,y,z],[4,-4,3],[3,-4,4]])

red sage] blue A

x y z 4 - 4 3 3 - 4 4 x y z 4 - 4 3 3 - 4 4

red sage] blue A.determinant()

- 4 z - 7 y - 4 x - 4 z - 7 y - 4 x

red sage] blue

Por Ultimo se obtiene que

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This work is licensed by Jose David Rengifo Fuentes under a Creative Commons Attribution License (CC-BY 3.0), and is an Open Educational Resource.

Last edited by Jose David Rengifo Fuentes on Mar 20, 2009 8:25 pm -0500.