*u*and

*v*and having magnitude equal to the product of the magnitudes of

*u*and

*v*and the sine of the angle from

*u*to

*v*

a vector perpendicular to each of two given vectors *u* and *v* and having magnitude equal to the product of the magnitudes of *u* and *v* and the sine of the angle from *u* to *v*

Webster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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"vector product." YourDictionary, n.d. Web. 15 January 2019. <https://www.yourdictionary.com/vector-product>.

**APA Style**

vector product. (n.d.). Retrieved January 15th, 2019, from https://www.yourdictionary.com/vector-product

noun

A vector **c** , depending on two other vectors **a** and **b** , whose magnitude is the product of the magnitude of **a** , the magnitude of **b** , and the sine of the angle between **a** and **b** . Its direction is perpendicular to the plane through **a** and **b** and oriented so that a right-handed rotation about it carries **a** into **b** through an angle not greater than 180°. The notation for **c** is **c** = **a** × **b** . Also called *cross product* .

**vector product**

c = a x b

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"vector product." YourDictionary, n.d. Web. 15 January 2019. <https://www.yourdictionary.com/vector-product>.

**APA Style**

vector product. (n.d.). Retrieved January 15th, 2019, from https://www.yourdictionary.com/vector-product

A vector *c*, depending on two other vectors *a* and *b*, whose magnitude is the product of the magnitude of *a*, the magnitude of *b*, and the sine of the angle between *a* and *b*. Its direction is perpendicular to the plane through *a* and *b* and oriented so that a right-handed rotation about it carries *a* into *b* through an angle not greater than 180°. The notation for *c* is *c* = *a* × *b*. Also called *cross product*

See also right-hand rule

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**MLA Style**

"vector product." YourDictionary, n.d. Web. 15 January 2019. <https://www.yourdictionary.com/vector-product>.

**APA Style**

vector product. (n.d.). Retrieved January 15th, 2019, from https://www.yourdictionary.com/vector-product

Noun

(*plural* vector products)

- (vector algebra) a vector with the size given by the product of two vectors computed as the product of the magnitudes of the vectors and the sine of the angle between their directions, and directed perpendicular to the given two vectors, with positive orientation.

English Wiktionary. Available under CC-BY-SA license.

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**APA Style**

- vector product
- vector-products
- vector quantization
- vector quantizing code