F
Lv 6
F asked in Science & MathematicsMathematics · 1 decade ago

Volume . . . . vectors ?

Hi.

I just don´t seem to be able to get the right answer to these two so I am hoping someone here can help me.

1) I need to find the volume determined by these coordinates:

p = (2,-3,5), q = (-6,1,-1) and r = (2,0,1). The answer given is -20 which is 20.

2) Find the volume determined by:

u = (1,0,1), v = (0,2,3) and w = (3,0,-5). The answer given is -16 which is 16.

Could you please show your work so I can see where my mistakes lie.

Thank you!!

1 Answer

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  • asimov
    Lv 6
    1 decade ago
    Favorite Answer

    well you said COORDINATES

    it means points

    but with just 3 points you can not have any Volume

    asumming you means Vektors

    to find the volume of the quader spanning by this 3 Vectors

    You can use Sarus methode

    | a b c |

    | d e f |

    | g h i |

    D = aei + bfg + cdh - ceg - afh - bdi

    and the answer is for first one 20 and for second one 16 (you got it right)

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