# Definitions for **scalar**ˈskeɪ lər

### This page provides all possible meanings and translations of the word **scalar**

### Random House Webster's College Dictionary

sca•larˈskeɪ lər(adj.)

representable by position on a scale or line; having only magnitude:

a scalar variable.

**Category:**Mathof, pertaining to, or utilizing a scalar.

**Category:**Mathladderlike in arrangement or organization; graduated.

(n.)a quantity possessing only magnitude.

**Category:**Math**Ref:**Compare vector (def. 1). 1 1

#### Origin of **scalar**:

1650–60; < L scālāris of a ladder. See scale3, -ar1

### Princeton's WordNet

scalar(adj)

a variable quantity that cannot be resolved into components

scalar(adj)

of or relating to a musical scale

"he played some basic scalar patterns on his guitar"

scalar(adj)

of or relating to a directionless magnitude (such as mass or speed etc.) that is completely specified by its magnitude

"scalar quantity"

### Wiktionary

scalar(Noun)

A quantity that has magnitude but not direction; compare vector

scalar(Noun)

An amplifier whose output is a constant multiple of its input

scalar(Adjective)

Having magnitude but not direction

scalar(Adjective)

Of, or relating to scale

**Origin:** From scalaris, adjectival form from scala, for *, from scandere; compare scale.

### Webster Dictionary

Scalar(noun)

in the quaternion analysis, a quantity that has magnitude, but not direction; -- distinguished from a vector, which has both magnitude and direction

### Freebase

Scalar

In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector. More generally, a vector space may be defined by using any field instead of real numbers, such as complex numbers. Then the scalars of that vector space will be the elements of the associated field. A scalar product operation may be defined on a vector space, allowing two vectors to be multiplied to produce a scalar. A vector space equipped with a scalar product is called an inner product space. The real component of a quaternion is also called its scalar part. The term is also sometimes used informally to mean a vector, matrix, tensor, or other usually "compound" value that is actually reduced to a single component. Thus, for example, the product of a 1×n matrix and an n×1 matrix, which is formally a 1×1 matrix, is often said to be a scalar. The term scalar matrix is used to denote a matrix of the form kI where k is a scalar and I is the identity matrix.

# Translation

#### Find a translation for the **scalar** definition in other languages:

Select another language:

#### Discuss these scalar definitions with the community:

# Citation

## Use the citation below to add this definition to your bibliography:

"scalar." *Definitions.net.* STANDS4 LLC, 2014. Web. 19 Apr. 2014. <http://www.definitions.net/definition/scalar>.