## Trending News

# area question?

Find the volume of the parallelepiped with one vertex at (−3,−1,5), and adjacent vertices at (1,−2,−2), (−2,−1,0), and (−3,1,−1).

How can I answer this question using the determinant of a 3x3 matrix?

### 1 Answer

Relevance

- az_lenderLv 71 month ago
The volume is |(aXb) "dot" c|, where

a = <4, -1, -7>,

b = <1, 0, -5>,

c = <0, 2, -6>.

The cross product aXb is

<5 + 0, -7+20, 0+1> = <5, 13, 1>.

Dotting that with "c" gives 0 + 26 - 6 = 20.

You should double check my arithmetic, but I say the answer is 20.

Still have questions? Get your answers by asking now.

That was correct. One question, when you did aXb how did you get 0+1 for the k component?