Mathematics, 28.08.2019 22:00 kaeakal
Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 4, 3, −1 , b = 0, 1, 2 , c = 5, −3, 6
Answers: 3
![det\left[\begin{array}{ccc}4&3&-1\\0&1&2\\5&-3&6\end{array}\right] =(4)det\left[\begin{array}{cc}1&2\\-3&6\end{array}\right] -(3)det\left[\begin{array}{cc}0&2\\5&6\end{array}\right]+(-1)det\left[\begin{array}{cc}0&1\\5&-3\end{array}\right]\\ =4[6-(-6)]-3(0-10)-(0-5)=48+30+5=83](/tpl/images/0206/8001/63fec.png)
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Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 4, 3, −1 , b = 0, 1...
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