Translation guide
The cross product is a mathematical operation on two vectors in three-dimensional space that produces a third vector perpendicular to both. This guide covers how to express the concept in Japanese, primarily in mathematical contexts.
外積
cross product (mathematics)
The vector operation producing a perpendicular vector
Standard term for cross product in mathematics and physics. Literally 'outer product'.
ベクトルAとBの外積を計算してください。
Please calculate the cross product of vectors A and B.
Loanword from English, used in some contexts, but less common than 外積.
Literally 'vector product', sometimes used to distinguish from scalar product (dot product). More formal or textbookish.
In mathematical discussions, 外積 is the default term. クロス積 is understood but may sound like a direct translation. Use 外積 in formal writing.
クロス積の結果はベクトルです。
The result of the cross product is a vector.
ベクトル積は物理学でよく使われます。
The vector product is often used in physics.