Question

Derive expression for vector product of two vectors.​

Answer 1

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First do the cross product, and only then dot the resulting vector with the first vector. u · (v × w) = w · (u × v) = v · (w × u). The number |u · (v × w)| is the volume of the parallelepiped determined by the vectors u, v, w. Proof: Recall the dot product: x · y = |x||y| cos(θ).

Explanation:

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Answer 2

Answer:

First do the cross product, and only then dot the resulting vector with the first vector. u · (v × w) = w · (u × v) = v · (w × u). The number |u · (v × w)| is the volume of the parallelepiped determined by the vectors u, v, w. Proof: Recall the dot product: x · y = |x||y| cos(θ).

Explanation:

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