The formula to calculate the volume of a parallelpiped is:
$$V = u \cdot (v × w)$$
But what's the difference between that formula and
$$V = u × (v \cdot w)$$
2026-04-09 02:05:23.1775700323
What's the difference the Triple Scalar Product volume formula and a similar formula?
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The second formula cannot be right because it does not even make sense mathematically: The scalar product $v \cdot w$ produces a number. This means that $u \times (v \cdot w)$ cannot be computed. The cross product is only defined between two vectors!