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The volume of a parallelepiped in Cartesian coordinates can be calculated using the scalar triple product of the vectors that define it. If you have three vectors (vec{a}), (vec{b}), and (vec{c}) that represent the edges of the parallelepiped meeting at one vertex, the volume (V) is given by:
[
V = |vec{a} cdot (vec{b} times vec{c})|
]
where (cdot) represents the dot product and (times) represents the cross product. The absolute value is taken to ensure the volume is non-negative.
Answer: a
Explanation: The volume of a parallelepiped is given by product of differential length,
breadth and height.