Scalar Product
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 0 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 A-B = AXBX +AyBy + AZB1 = IAIIBI cos 8 = AB cos8. If a scalar product is zero, one of the vectors is zero or else the two are perpendicular. See vector product N.B. Refer to source to verify equation(s)
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