2.2.7 Vector product, scalar triple product

The angle θ between two vectors u and v in ε3si366_e is defined by

cosθ=u·v|u||v|,

si367_e  (2.54)

where |u| is the natural norm, i.e., |u| = (u · u)1/2. Then the vector product in ε3si368_e is defined by

u×v=|u||v|nsinθ,|n|=1,u·n=v·n=0.

si369_e  (2.55)

As such, the vector product accepts two vectors u and v as inputs, and provides ...

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