Definition of scalar product in English:

scalar product


  • A scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them.

    Compare with vector product
    Also called dot product
    • ‘The first scalar product could have told us that one of the digits was 6 too small but then no sensible answer would have been obtainable from the second scalar product.’
    • ‘To judge this number, note that the scalar product between uncorrelated motions follows a Gaussian distribution of 0.015 half-width.’
    • ‘The scalar product also appears in Grassmann's 1844 work.’