벡터,vector이항연산,binary_operation.

2계 반대칭,antisymmetric 텐서,tensor가 무슨 말이지...
일단 3차원 유클리드_공간,Euclidean_space에서 살펴보면

See also 벡터곱,vector_product,cross_product


$\vec{A}\times\vec{B}=|\vec{A}| |\vec{B}|\sin\theta\hat{n}$
에 대입하면,
$\hat{\rm i}\times\hat{\rm i}=\vec{0}$
$\hat{\rm j}\times\hat{\rm j}=\vec{0}$
$\hat{\rm k}\times\hat{\rm k}=\vec{0}$

$\hat{\rm i}\times\hat{\rm j}=1\cdot1\cdot1\cdot\hat{\rm k}=\hat{\rm k}$
$\hat{\rm j}\times\hat{\rm k}=\hat{\rm i}$
$\hat{\rm k}\times\hat{\rm i}=\hat{\rm j}$

$\hat{\rm j}\times\hat{\rm i}=-\hat{\rm k}$
$\hat{\rm k}\times\hat{\rm j}=-\hat{\rm i}$
$\hat{\rm i}\times\hat{\rm k}=-\hat{\rm j}$

Twins:
WpEn:Outer_product
Namu:외적
[https]수학백과: 외적(https://terms.naver.com/entry.naver?docId=3405242&cid=47324&categoryId=47324)
차원이 올라가면 일반화로 exterior_product 이란 게 있다고.

Compare: 내적,inner_product

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last modified 2022-03-21 09:11:47