find the volume of a parallelepiped with 3 edges defined by a=(-2,0,4), b=(5,9,0), c=(0,3,-7)Basic gr 12 calculus

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You need to form the 3x3 matrix using the coefficients of a,b,c and you may find volume of paralelipiped using determinant of 3x3 square matrix such that:

V = |`[[-2,0,4],[5,9,0],[0,3,-7]]` |

`V = |-2*9*(-7) + 5*3*4 + 0*0*0 - 0*9*4 - 3*0*(-2) - 5*0*(-7)|`

`V = |-2*9*(-7) + 5*3*4|`

`V = |126 + 60|`

`V = 186`

Hence, evaluating the volume of paralellipiped under given conditions yields V = 186.

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