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.

---

cross product British  

noun

1. another name for vector product

2. another name for Cartesian product

---

cross product Scientific  

1. See vector product

---

Etymology

Origin of cross product

First recorded in 1925–30

Example Sentences

If force F is acting at a distance r from the axis, then torque is equal to the cross product of r and F: τ = r × F.

From Textbooks • Mar. 30, 2016

The calculation involves forming vectors along the directions of the lines and using both the cross product and the dot product.

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

The dot product of a vector with the cross product of two other vectors is called the triple scalar product because the result is a scalar.

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)