Mathematics, 04.09.2019 23:30 itsmemichellel
Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 1, 3, 2 , b = −1, 1, 5 , c = 4, 1, 3 in cubic units.
Answers: 2
![V = |(a\times b)\cdot c|=| \det \left( \left[\begin{array}{ccc}1&3&2\\-1&1&5\\4&1&3\end{array}\right] \right)| = |1(3-5) - 3(-3-20)+2(-1-4)| = |-2+69-10|=|57|=57](/tpl/images/0223/0449/524e5.png)
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Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 1, 3, 2 , b = −1, 1...
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