Scalar Product
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Scalar Product
</dt>
A scalar
equal to the product of the magnitudes of any two vectors and the
cosine of the angle θ between their positive directions. Also called
dot product, direct product, inner product. See vector
product.
</dd>
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 A_{x}, B_{x}, A_{y},
B_{y}, and A_{z}, B_{z} along rectangular Cartesian, x, y, and z axes,
respectively, then
If a scalar product is zero, one of the vectors is zero or else the two are perpendicular. </dd>
References
This article is based on NASA's Dictionary of Technical Terms for Aerospace Use