# vector product

vector product 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*## 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

## 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.