Scalar product

From Glossary of Meteorology



scalar product

(Also called dot product, direct product, inner product.) A scalar equal to the product of the magnitudes of any two vectors and the cosine of the angle θ between their positive directions.

For two vectors A and B, the scalar product is most commonly written A · B, read "A dot B," and occasionally as (AB). If the vectors A and B have the components Ax, Bx, Ay, By, and Az, Bz along rectangular Cartesian x, y, and z axes, respectively, then
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If a scalar product is zero, one of the vectors is zero or else the two are perpendicular.
See vector product.


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