What is the volume of the parallelepiped with adjacent edges PQ, PR, and PS?

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SUMMARY

The volume of the parallelepiped formed by the adjacent edges PQ, PR, and PS is calculated using the formula Volume = PQ · (PR x PS). The vectors were derived from the points P (-2,1,0), Q (2,3,2), R (1,4,-1), and S (3,6,1). An initial calculation yielded a volume of 6, but upon reevaluation, it was determined that a vector was incorrectly calculated, leading to the correct volume of 16 as stated in the textbook.

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Homework Statement



Find the volume of the parallelepiped with adjacent edged PQ, PR, and PS.
P (-2,1,0)
Q (2,3,2)
R (1,4,-1)
S (3,6,1)

Homework Equations



Volume = PQ . (PR x PS)

The Attempt at a Solution



I first found the vectors PQ, PR and PS. Then I did the cross product of PR x PS and then did the dot product of PQ (dot) PR x PS. I got an answer of 6, but the answers in the back of the book says 16. Did I do it wrong? or is the book wrong?
 
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Nevermind, I found out what I did wrong. I calculated on of the vectors wrong.
 

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