Phrase guide

scalar product

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 1

The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions.

Definition source: English Wiktionary via Wiktextract

Topics: linear-algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

a real number (a scalar) that is the product of two vectors

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: inner product, dot product

Antonyms: none provided

Broader terms: real number, real

History

Etymology

Coined by William Kingdon Clifford in 1877 in his book Elements of Dynamic.

Across languages

Translations

33 source translations are retained for this English entry.

  • Asturian: productu escalar — product of two vectors
  • Asturian: productu puntu — product of two vectors
  • Catalan: producte escalar — product of two vectors
  • Catalan: producte punt — product of two vectors
  • Czech: skalární součin — product of two vectors
  • Danish: skalarprodukt — product of two vectors
  • Danish: prikprodukt — product of two vectors
  • Dutch: scalair product — product of two vectors
  • Finnish: skalaaritulo — product of two vectors
  • Finnish: pistetulo — product of two vectors
  • Finnish: sisätulo — product of two vectors
  • French: produit scalaire — product of two vectors
  • Galician: produto escalar — product of two vectors
  • Galician: produto punto — product of two vectors
  • German: Skalarprodukt — product of two vectors
  • Greek: εσωτερικό γινόμενο (esoterikó ginómeno) — product of two vectors
  • Hindi: अदिश गुणनफल (adiś guṇanphal) — product of two vectors
  • Hindi: बिंदु गुणनफल (bindu guṇanphal) — product of two vectors
  • Hungarian: skaláris szorzat — product of two vectors
  • Icelandic: innfeldi — product of two vectors
  • Icelandic: innra margfeldi — product of two vectors
  • Icelandic: depilfeldi — product of two vectors
  • Italian: prodotto scalare — product of two vectors
  • Japanese: スカラー積 (sukarā-seki) — product of two vectors
  • Korean: 스칼라곱 (seukallagop) — product of two vectors
  • Polish: iloczyn skalarny — product of two vectors
  • Portuguese: produto escalar — product of two vectors
  • Romanian: produs scalar — product of two vectors
  • Russian: скаля́рное произведе́ние (skaljárnoje proizvedénije) — product of two vectors
  • Spanish: producto escalar — product of two vectors
  • Spanish: producto punto — product of two vectors
  • Swedish: skalärprodukt — product of two vectors
  • Vietnamese: tích vô hướng — product of two vectors