I've learned that the wedge product is a product operation on two alternating tensors that yields another alternating tensor, but sometimes while surfing the net I see people using the wedge product for two vectors. For example, on the wiki page titled "Exterior algebra" it says that "using the standard basis [itex] \{ e_1, e_2, e_3 \} [/itex], the wedge product of a pair of vectors u and v is ...." (the result is an alternating tensor, which seems correct)(adsbygoogle = window.adsbygoogle || []).push({});

I didn't write out the formula because it's irrelevant. My question is, why are they computing the wedge product of two vectors if the wedge product is defined on the set of alternating tensors?

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# Wedge Product

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