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scalar

C2
Uncommon

Pronunciation

UK

  • /ˈskeɪ.lə/not-comparableadjective

US

  • /ˈskeɪlər/

Meanings

Adjective

  1. relating to a quantity or value expressed by a single number rather than a vector or more complex structure

Noun

  1. a quantity or variable that has magnitude but no direction and can be represented by a single value

Beyond the definition

Imagine you're describing how much pizza you have. You might say "five slices." That "five" is a scalar: a single number that tells you an amount. Now imagine telling someone where the pizza is. You need more than just a number; you need direction. Scalars are different. They tell you how much of something there is, not which way it points or moves.

In math and physics, scalars are quantities that can be described by a single number. Think of temperature (25 degrees), mass (10 kilograms), or time (3 seconds). These are not directions; they are just amounts. They contrast with vectors, which do have direction. So while speed is a scalar (60 mph), velocity is a vector (60 mph north).

Examples

  1. 1

    Physics quantities

    In physics, mass is a scalar quantity, but force is a vector.

    • Domainscalar quantity

      something that has size but no direction

  2. 2

    Function output

    The function returns a scalar value when the input is a single number.

  3. 3

    Vector math

    Multiplying the vector by a scalar changes its length but not its direction.

See also

Similar

  • magnitude-only
  • single-valued

Shades of meaning

Contrast

Used with (collocations)

  • scalar quantity
  • scalar value
  • scalar multiplication

Word family

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Forms and spellings

2 forms open this card.

Main spelling

  • scalarnounadjective

Forms

  • scalarspluralnounadjective