# vector product

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Related to vector product: vector multiplication

## vector product

*n.*

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*.American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## vector product

*n*

(Mathematics) the product of two vectors that is a pseudovector, whose magnitude is the product of the magnitudes of the given vectors and the sine of the angle between them. Its axis is perpendicular to the plane of the given vectors. Written:

*×***A***or***B***∧***A***. Also called:***B****cross product**Compare scalar productCollins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## cross′ prod`uct

*n.*

a vector perpendicular to two given vectors and having magnitude equal to the product of the magnitudes of the two vectors multiplied by the sine of the angle between them. Also called

**vector product**.[1925–30]

Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

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Noun | 1. | vector product - a vector that is the product of two other vectorsvector - a variable quantity that can be resolved into components |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

Translations

**Kreuzprodukt**

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