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 u
pantera1 [17]
Answer:
57 u^3
Step-by-step explanation:
We know that the volume of the parallelepiped determined by the tree vectors is equal to the absolute value of its scalar triple product:
![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](https://tex.z-dn.net/?f=V%20%3D%20%7C%28a%5Ctimes%20b%29%5Ccdot%20c%7C%3D%7C%20%5Cdet%20%5Cleft%28%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%262%5C%5C-1%261%265%5C%5C4%261%263%5Cend%7Barray%7D%5Cright%5D%20%5Cright%29%7C%20%3D%20%7C1%283-5%29%20-%203%28-3-20%29%2B2%28-1-4%29%7C%20%3D%20%7C-2%2B69-10%7C%3D%7C57%7C%3D57)
Where we used that the scalar triple product of three vectors equals the absolute value of its determinant.
Therefore, the volume of the parallelepiped is: 57 u^3
Answer:
Profit = 51300 thousand dollars
Explanation:
Cost function in thousands of dollars is given by C(x) = 45 x + 8700, where x represent number of tricycles sold.
Revenue of function R(x) = 75 x
We have the expression for profit = Revenue - Cost
Number of tricycles sold = 2000
Revenue = 75 * 2000 = 150000 thousand dollars
Cost = 45 * 2000 + 8700 = 98700 thousand dollars
Profit = 150000 - 98700 = 51300 thousand dollars
Answer:
1. B
2. Seven Hundred thousand nine hundred and four
Step-by-step explanation:
B thank me later :) give me hearts
None of the above its actually number 22
Hope that helped!?
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