Question

Could someone please point out my mistake in the following problem? I am asked to use a scalar triple product to find the volume of the parallelepiped that has u,v, and w as adjacent angles.
u=<2,-6,2>
v=<0,4,-2>
w=<2,2,-4>

v x w = <-12,-4,-8>

u (dot) <-12,-4,-8>
= <2,-6,2,> (dot) <-12,-4,-8>
=-16

Answer 1

volume can not be negative

Answer 2

just take magnitude of it

Answer 3

Oh right...
take the magnitude of what?

Answer 4

16

Answer 5

absolute value of 16

Answer 6

it has to do with the fact that w x v will give u the negative of the cross product you got