scalar
C2Pronunciation
UK
- /ˈskeɪ.lə/not-comparableadjective
- /ˈskeɪ.lə/noun
US
- /ˈskeɪlər/
Description
- single number
- magnitude only
- non-directional quantity
- simple value
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).
A scalar is a quantity that is fully described by its magnitude—essentially, how much there is of something. It is a single numerical value without any directional component. Think of it as a simple measurement. If you tell someone the temperature outside is 28 degrees Celsius, you are giving them a scalar value. You are only saying how hot it is, not giving any direction.
A scalar is often contrasted with a vector. A vector needs both size and direction, while a scalar needs only size. That is why quantities like mass, energy, speed, time, and electric charge are called scalars. They answer questions like "how much?", "how long?", or "how fast?" without saying anything about direction.
In mathematics, a scalar can also be a number used to multiply another quantity, especially a vector. When that happens, it changes the size of the vector but not its direction. In science and engineering, understanding the difference between scalars and vectors helps you describe the world clearly. If you are dealing with a value that tells you "how much" but not "which way," you are dealing with a scalar.
Examples
- 1
Physics quantities
In physics, mass is a scalar quantity, but force is a vector.
Domain
scalar quantity
something that has size but no direction
- 2
Function output
The function returns a scalar value when the input is a single number.
- 3
Vector math
Multiplying the vector by a scalar changes its length but not its direction.
Forms and spellings
2 forms open this card.
Main spelling
- scalarnounadjective
Forms
- scalarspluralnounadjective