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# 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

- asimovLv 61 decade agoFavorite 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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