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Meaning of "cross product" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF CROSS PRODUCT

cross product play
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GRAMMATICAL CATEGORY OF CROSS PRODUCT

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Cross product is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES CROSS PRODUCT MEAN IN ENGLISH?

Cross product

In mathematics, the cross product or vector product is a binary operation on two vectors in three-dimensional space. It results in a vector which is perpendicular to both and therefore normal to the plane containing them. It has many applications in mathematics, physics, and engineering. If the vectors have the same direction or one has zero length, then their cross product is zero. More generally, the magnitude of the product equals the area of a parallelogram with the vectors for sides; in particular for perpendicular vectors this is a rectangle and the magnitude of the product is the product of their lengths. The cross product is anticommutative and is distributive over addition. The space and product form an algebra over a field, which is neither commutative nor associative, but is a Lie algebra with the cross product being the Lie bracket. Like the dot product, it depends on the metric of Euclidean space, but unlike the dot product, it also depends on the choice of orientation or "handedness".

WORDS THAT BEGIN LIKE CROSS PRODUCT

cross hairs
cross holdings
cross my heart!
cross of Lorraine
Cross of Valour
cross one´s fingers
cross one´s heart
cross one´s mind
cross potent
cross press
cross protection
cross relation
Cross River
cross section
cross someone´s palm
cross someone´s path
cross street
cross swell
cross swords
cross the Rubicon

WORDS THAT END LIKE CROSS PRODUCT

banking product
blood product
by-product
Cartesian product
cleaning product
conduct
coproduct
dot product
end product
finished product
fission product
global product
gross domestic product
gross national product
multiproduct
primary product
product
scalar product
set product
subproduct
vector product

Synonyms and antonyms of cross product in the English dictionary of synonyms

SYNONYMS

Translation of «cross product» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF CROSS PRODUCT

Find out the translation of cross product to 25 languages with our English multilingual translator.
The translations of cross product from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «cross product» in English.

Translator English - Chinese

跨产品
1,325 millions of speakers

Translator English - Spanish

producto vectorial
570 millions of speakers

English

cross product
510 millions of speakers

Translator English - Hindi

उत्पाद के पार
380 millions of speakers
ar

Translator English - Arabic

المنتج عبر
280 millions of speakers

Translator English - Russian

векторное произведение
278 millions of speakers

Translator English - Portuguese

produto cruzado
270 millions of speakers

Translator English - Bengali

ক্রস পণ্য
260 millions of speakers

Translator English - French

produit en croix
220 millions of speakers

Translator English - Malay

Produk salib
190 millions of speakers

Translator English - German

Kreuzprodukt
180 millions of speakers

Translator English - Japanese

外積
130 millions of speakers

Translator English - Korean

외적
85 millions of speakers

Translator English - Javanese

Produk salib
85 millions of speakers
vi

Translator English - Vietnamese

sản phẩm chéo
80 millions of speakers

Translator English - Tamil

குறுக்கு தயாரிப்பு
75 millions of speakers

Translator English - Marathi

क्रॉस उत्पादन
75 millions of speakers

Translator English - Turkish

Çapraz ürün
70 millions of speakers

Translator English - Italian

prodotto vettoriale
65 millions of speakers

Translator English - Polish

krzyż produkt
50 millions of speakers

Translator English - Ukrainian

векторний добуток
40 millions of speakers

Translator English - Romanian

produs eco
30 millions of speakers
el

Translator English - Greek

γινόμενο
15 millions of speakers
af

Translator English - Afrikaans

kruisproduk
14 millions of speakers
sv

Translator English - Swedish

tvär produkt
10 millions of speakers
no

Translator English - Norwegian

kryssproduktet
5 millions of speakers

Trends of use of cross product

TRENDS

TENDENCIES OF USE OF THE TERM «CROSS PRODUCT»

The term «cross product» is quite widely used and occupies the 48.833 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
77
/100
The map shown above gives the frequency of use of the term «cross product» in the different countries.
Principal search tendencies and common uses of cross product
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «cross product».

FREQUENCY OF USE OF THE TERM «CROSS PRODUCT» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «cross product» during the past 500 years. Its implementation is based on analysing how often the term «cross product» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about cross product

EXAMPLES

10 ENGLISH BOOKS RELATING TO «CROSS PRODUCT»

Discover the use of cross product in the following bibliographical selection. Books relating to cross product and brief extracts from same to provide context of its use in English literature.
1
Beginning Math and Physics for Game Programmers
Cross Product The preceding section looked at one way to "multiply" vectors — the dot product. This section examines the cross product. The biggest difference between the two is that the dot product returns a scalar value and the cross ...
Wendy Stahler, Dustin Clingman, Kaveh Kahrizi, 2004
2
Calculus Multivariable
11.4 The Cross Product of Two Vectors in Space □ Find the cross product of two vectors in space. □ Use the triple scalar product of three vectors in space. EXPLORATION Geometric Property of the Cross Product Three pairs of vectors are ...
Ron Larson, Bruce Edwards, 2009
3
Diagrammatic Morphisms and Applications: AMS Special Session ...
This is not an accidential fact but has to do with the subsequent definition of cross product bialgebras where we use precisely these algebra and coalgebra structures. Only then are we able to get all the known cross product bialgebras [ 19, 13, ...
David E. Radford, Fernando José Oliveira Souza, David N. Yetter
4
Very Large Data Bases
Our examples are actual CORIE data products, though the techniques we use generalize to any domain involving irregular grids, cross product grids, or selected sub-regions. Forward Binding. The recipe in Figure 7 computes a 3-D salinity ...
Mario A. Nascimento, 2004
5
Hopf Algebras and Quantum Groups
The following Theorem 3.5 manifests our theory of cross product bialgebras in such a way that it provides equivalent descriptions of strong type-a cross product bialgebras either universally or in (co-)modular co-cyclic terms. We use notations  ...
Stefaan Caenepeel, Freddy Van Oystaeyen, 2000
6
Network Algorithmics: An Interdisciplinary Approach to ...
Thus, the basic cross-producting algorithm [SVSW98] builds a table of all possible cross products and precomputes the least-cost rule matching each cross product. This is shown in Figure 12.13. Then, given a packet header, the search ...
George Varghese, 2005
7
A Brief on Tensor Analysis
James G. Simmonds. Alternative Interpretation of the Dot and Cross Product. Tensors 15 2b + 3c = 0 and e b = -a + c = 0, which implies that b » la and c - a, Hence e ~ a(l,2, 1). To make |e| = 1, set, a = ± 1 ...
James G. Simmonds, 1994
8
Grassmann Algebra Volume 1: Foundations: Exploring extended ...
Taking the cross-product of two vectors in three dimensions corresponds to taking the complement of their exterior product. However, whilst the usual cross product formulation is valid only for vectors in three dimensions, the exterior product ...
John Browne, 2012
9
3D Math Primer for Graphics and Game Development, 2nd Edition
Cross product • The dot product a·b measures the length of the projection of b onto a, multiplied by the length of a. • The dot product can be used to measure displacement in a particular direction. • The projection operation is closely related to ...
Fletcher Dunn, Ian Parberry, 2011
10
Calculus: Early Transcendental Functions
11.4 The Cross Product ofTwo Vectors in Space Find the cross product of two vectors in space. Use the triple scalar product of three vectors in space. The Cross Product Many applications in physics, engineering, and geometry involve finding ...
Ron Larson, Bruce Edwards, 2014

10 NEWS ITEMS WHICH INCLUDE THE TERM «CROSS PRODUCT»

Find out what the national and international press are talking about and how the term cross product is used in the context of the following news items.
1
No breaks for Dudzinski
Kaneland and Holy Cross product Dave Dudzinski (left) recently completed his first season of playing professionally in Italy. By CHRIS CASEY ... «Kane County Chronicle, Jul 15»
2
Is there a cost between switching SSE and non-SSE instructions?
(One possible reason is that cross product is not the bottleneck. However the cross product function was not written well, after a little ... «GameDev.net, Jul 15»
3
How to set up correctly the camera matrix?
your view matrix is left-handed. To build a left or right handed matrix, all that matters is the cross product that provides the right vector, consider:. «GameDev.net, Jun 15»
4
Eagan, Jones, Murphy listed on Preseason All-America roster
The New Orleans-Holy Cross product was second nationally in all-purpose yards per game (181). Murphy was a standout on the Demons' ... «nsudemons.com, Jun 15»
5
IMTC SuperOp! 2015 Unified Communications Interoperability …
"Feedback from end users consistently ranks cross product/technology interoperability as the highest priority when making new and expansion ... «Benzinga, Jun 15»
6
Microsoft: Removing SMB/Enterprise Solution Silos And Better …
MSFT did some management restructuring recently which was aimed at improving cross product, cross division collaboration – but should ... «Seeking Alpha, Jun 15»
7
Metro Bank selects disruptive Collateral Management solution …
CloudMargin presents Metro Bank with the capability of true cross product visibility, opening the door to the margin efficiency of netting. «PR Web, Jun 15»
8
Like UVA baseball team, Roanoke's "Little Matty Doughty" defies …
Doughty, a North Cross product, made it his goal to walk-on at UVA. While he's content to help the team anyway he can, his submarine pitching ... «WDBJ7, Jun 15»
9
Holy Cross product Ryan Deemes picked by Houston Astros in 36th …
Holy Cross product Ryan Deemes of Nicholls State was picked in the 36th round of the 2015 MLB Draft. He was the No. 1,069 overall pick. «NOLA.com, Jun 15»
10
IZEA Appoints Chris Staymates as Vice President of Engineering
In addition, he designed and led the implementation of 'SuperSim' at EA, a cross-platform, cross product football simulation engine. Staymates ... «CNNMoney, Jun 15»

REFERENCE
« EDUCALINGO. Cross product [online]. Available <https://educalingo.com/en/dic-en/cross-product>. May 2024 ».
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