calc III: volume of parallelepiped A(0,0,0), B(3,1,0), C(0,-5,1), and D(2,-6,5), solution check

Question

calc III: volume of parallelepiped ​A(0​,0​,0​), ​B(3​,1​,0​), ​C(0​,-5​,1​), and ​D(2​,-6​,5​), solution check

Vocaloid · Answer

|dw:1547777242297:dw|

Vocaloid · Answer

I always have trouble visualizing these >_>

so my setup would be | DA dot (BA cross CA) | ?

dude · Answer

I could be wrong but aren't they supposed to start from the same point?

So it might be

$|\overset{\rightarrow}{AD} \cdot (\overset{\rightarrow}{AB} \times \overset{\rightarrow}{AC})|$

Related but I heard Geogebra can be good for looking at 3d points maybe that could help visually ¯\_(ツ)_/¯ (Though I heard Maplesoft is much more advanced but its $$ I am sure there are ways to get it for free)

Vocaloid · Answer

... I totally wrote the vectors the wrong way whoops

Vocaloid · Answer

anyway I already submitted + got it right but thank you <3