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11TH•Mathematics•Vectors In Space•14.3 Cross Product

14.3 Cross Product or Vector Product

Vector product, determinant formula, area of parallelogram/triangle, and moment of force.

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14.3 Cross Product or Vector Product

Defined only in space. Result is a vector:

u‾×v‾=(∣u‾∣ ∣v‾∣sin⁡θ) n‾\underline{u}\times\underline{v} = (|\underline{u}|\,|\underline{v}|\sin\theta)\,\underline{n}

where n‾\underline{n} is a unit normal given by the right-hand rule (0≤θ≤π0\le\theta\le\pi).

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14.4 Scalar Triple Product