scalar product

noun

, Mathematics.

1. inner product ( def 1 ).

scalar product

noun

1. the product of two vectors to form a scalar, whose value is the product of the magnitudes of the vectors and the cosine of the angle between them. Written: A · B or AB Also calleddot product Compare vector product

scalar product

1. The numerical product of the lengths of two vectors and the cosine of the angle between them.

Word History and Origins

Origin of scalar product¹

First recorded in 1875–80

Example Sentences

To calculate the angle between two vectors, you multiply them together using the scalar product and then divide by the two vector lengths.

From Scientific American

Joules are applied only if this torque moves through a unitless vector rotation, with the scalar product yielding the scalar quantity of energy.

From Nature