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What is the difference between vector and quaternion?

vector | quaternion |

In mathematics terms the difference between vector and quaternion

is that vector is any member of a (generalized) vector space while quaternion is a four-dimensional hypercomplex number that consists of a real dimension and 3 imaginary ones (i, j, k) that are each a square root of -1. They are commonly used in vector mathematics and in calculating the rotation of three-dimensional objects.

As a verb vector

is to set (particularly an aircraft) on a course toward a selected point.

vector

Noun

(en noun)
  • (mathematics) A directed quantity, one with both magnitude and direction; the signed difference between two points.
  • *
  • (mathematics) An ordered tuple representing a directed quantity or the (soplink) between two points.
  • (mathematics) Any member of a (generalized) vector space.
  • The vectors in {\mathbb Q}[X] are the single-variable polynomials with rational coefficients: one is x^{42}+\frac1{137}x-1.
  • (aviation) A chosen course or direction for motion, as of an aircraft.
  • (senseid)(epidemiology) A carrier of a disease-causing agent.
  • (sociology) A person or entity that passes along an urban legend or other meme.
  • (psychology) A recurring psychosocial issue that stimulates growth and development in the personality.
  • The way in which the eyes are drawn across the visual text. The trail that a book cover can encourage the eyes to follow from certain objects to others.
  • (computing, operating systems) A memory address containing the address of a code entry point, usually one which is part of a table and often one that is dereferenced]] and [[jump, jumped to during the execution of an interrupt.
  • (programming) A one-dimensional array.
  • Usage notes

    * (programming) The term is used loosely when the indices are not (either positive or non-negative) integers.

    Hypernyms

    *

    Hyponyms

    * * * * * * * (hyp-mid3) * * * * * * * (hyp-mid3) * * * ) * * * (hyp-bottom)

    Derived terms

    * * * * * * * * *

    Verb

    (en verb)
  • To set (particularly an aircraft) on a course toward a selected point.
  • * 1994 , Eve Kosofsky Sedgwick, Tendencies
  • if love is vectored toward an object and Elinor's here flies toward Marianne, Marianne's in turn toward Willoughby.

    References

    * The New Oxford Dictionary of English

    Anagrams

    * ----

    quaternion

    Noun

    (en noun)
  • A group or set of four people or things.
  • *1526 , (William Tyndale), trans. Bible , Acts XII:
  • *:Then wer the dayes of unlevended breed, and when he had caught hym, he put him in preson, and delyvered hym to iiij. quaternions off soudiers to be kept, entendynge after ester to brynge hym forth to the people.
  • *1885 , Alexander Roberts, James Donaldson (original translators and editors), Arthur Cleveland Coxe (editor of American edition, unauthorized; author of annotations, notes, and introductions), Philip Schaff (also credited as editor), :
  • This quaternion of revilers has traduced Origen, but not on the same grounds, one having found one cause of accusation against him, and another another; and thus each has demonstrated that what he has taken no objection to, he has fully accepted.
  • A word of four syllables.
  • * Sir Walter Scott
  • The triads and quaternions with which he loaded his sentences.
  • (mathematics) A four-dimensional hypercomplex number that consists of a real dimension and 3 imaginary ones (i'', ''j'', ''k ) that are each a square root of -1. They are commonly used in vector mathematics and in calculating the rotation of three-dimensional objects.
  • *2004 , David H. Eberly, 3D Game Engine Architecture: Engineering Real-Time Applications with Wild Magic :
  • The right-hand side of the quaternion' equation requires scalar multiplication and ' quaternion addition.

    Hypernyms

    * hypercomplex number

    Derived terms

    * quaternionic

    See also

    * (mathematics) octonion

    References