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What is the difference between perpendicular and orthogonal?

perpendicular | orthogonal |

Orthogonal is a synonym of perpendicular.



In geometry terms the difference between perpendicular and orthogonal

is that perpendicular is a line or plane that is perpendicular to another while orthogonal is of two objects, at right angles; perpendicular to each other.

As a noun perpendicular

is a line or plane that is perpendicular to another.

perpendicular

Adjective

(en adjective)
  • (geometry) At or forming a right angle (to).
  • * {{quote-magazine, date=2012-03
  • , author=(Henry Petroski) , title=Opening Doors , volume=100, issue=2, page=112-3 , magazine= citation , passage=A doorknob of whatever roundish shape is effectively a continuum of levers, with the axis of the latching mechanism—known as the spindle—being the fulcrum about which the turning takes place. Applying a force tangential to the knob is essentially equivalent to applying one perpendicular to a radial line defining the lever.}}
    In most houses, the walls are perpendicular to the floor .

    Synonyms

    * evendown * normal * orthogonal

    Noun

    (en noun)
  • (geometry) A line or plane that is perpendicular to another.
  • A device such as a plumb line that is used in making or marking a perpendicular line.
  • orthogonal

    English

    (Orthogonality)

    Adjective

    (-)
  • (geometry) Of two objects, at right angles; perpendicular to each other.
  • A chord and the radius that bisects it are orthogonal .
  • (mathematics)
  • # Of a pair of vectors: having a zero inner product; perpendicular.
  • The normal vector and tangent vector at a given point are orthogonal .
  • # Of a square matrix: such that its transpose is equal to its inverse.
  • # Of a linear transformation: preserving its angles.
  • # Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
  • (statistics) Statistically independent, with reference to variates.
  • (software engineering) Of two or more aspects of a problem, able to be treated separately.
  • The content of the message should be orthogonal to the means of its delivery.
  • Of two or more problems or subjects, independent of or irrelevant to each other.
  • Derived terms

    * orthogonality

    See also

    * uncorrelated