cross product

American  

noun

Mathematics.

1. a vector perpendicular to two given vectors, u and v, and having magnitude equal to the product of the magnitudes of the two given vectors multiplied by the sine of the angle between the two given vectors, usually represented by u × v.

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cross product British  

noun

1. another name for vector product

2. another name for Cartesian product

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cross product Scientific  

1. See vector product

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Etymology

Origin of cross product

First recorded in 1925–30

Example Sentences

In the three-dimensional case, finding the cross product of the unit tangent vector and the unit normal vector can be even more cumbersome.

From Textbooks • Mar. 30, 2016

Furthermore, each integral would require parameterizing the corresponding surface, calculating tangent vectors and their cross product, and using Equation 6.19.

From Textbooks • Mar. 30, 2016

Notice that each component of the cross product is positive, and therefore this vector gives the outward orientation.

From Textbooks • Mar. 30, 2016

If ‖ u ‖ = 5 and ‖ v ‖ = 2, find the angle between u and v if the magnitude of their cross product vector is equal to 9.

From Textbooks • Mar. 30, 2016

So much for the first cross product of the dog with the jackal.

From The Moral and Intellectual Diversity of Races With Particular Reference to Their Respective Influence in the Civil and Political History of Mankind by Arthur, T. S. (Timothy Shay)