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orthogonal

[ɔːˈθɒɡən(ə)l]

orthogonal Definition

  • 1of or involving right angles; at right angles
  • 2statistically independent

Using orthogonal: Examples

Take a moment to familiarize yourself with how "orthogonal" can be used in various situations through the following examples!

  • Example

    The two lines are orthogonal to each other.

  • Example

    The x-axis and y-axis are orthogonal in a Cartesian coordinate system.

  • Example

    In statistics, the variables are assumed to be orthogonal to each other.

  • Example

    The concept of time is orthogonal to the concept of space.

orthogonal Synonyms and Antonyms

Synonyms for orthogonal

Antonyms for orthogonal

Phrases with orthogonal

  • a projection of a geometric figure onto a plane at right angles to the plane

    Example

    The orthogonal projection of a cube onto a plane results in a square.

  • a square matrix whose columns and rows are mutually orthonormal

    Example

    An orthogonal matrix preserves the length of vectors and the angles between them.

  • the set of all vectors that are perpendicular to a given vector or subspace

    Example

    The orthogonal complement of a line in a plane is the set of all points in the plane that are perpendicular to the line.

Origins of orthogonal

from Greek 'orthos' meaning 'straight, upright' and 'gonia' meaning 'angle'

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Summary: orthogonal in Brief

The term 'orthogonal' [ɔːˈθɒɡən(ə)l] refers to things that are at right angles to each other, such as lines or axes. It can also refer to statistical variables that are independent of each other. Examples include 'The two lines are orthogonal to each other.' and 'In statistics, the variables are assumed to be orthogonal to each other.'