The volume of a parallelepiped in Cartesian isa)dV = dx dy dzb)dV = dx...
The volume of a parallelepiped is given by product of differential length, breadth and height.
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Explanation:
Volume of a Parallelepiped in Cartesian Coordinates:
- In Cartesian coordinates, a parallelepiped is a six-faced figure with each face being a parallelogram.
- The volume of a parallelepiped can be calculated using the formula: dV = dx dy dz, where dx, dy, and dz are the lengths of the edges of the parallelepiped along the x, y, and z axes respectively.
Reasoning:
- The volume element dV can be expressed as the product of the lengths of the three edges, which are perpendicular to each other.
- Therefore, the correct formula for the volume of a parallelepiped in Cartesian coordinates is dV = dx dy dz.
- Option 'A' correctly represents the volume element in Cartesian coordinates as dV = dx dy dz.
Therefore, the correct answer is option 'A'.