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{excerpt} Also called the *dot product*, the *scalar product* is a special method of multiplying two vectors that gives as a result a [scalar] (that is, a quantity with [magnitude] but no direction). {excerpt} The scalar product has special significance in many physical situations.

The *scalar product* of two vectors *A* and *B* is represented by
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{latex}\begin{large} \[ \vec{A} \dot* \vec{B} \]\end{large}{latex}
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 and is defined as *c*, where
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{latex}\begin{large} \[ c = \vec{A} \dot \vec{B} = |A| |B| sin(\theta) \]\end{large}{latex} 
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Here {*}θ{*} is the angle between the two vectors *A* and *B* . The Scalar Product *c* is thus equal to the *area* of the parallelogram having as two of its sides the vectors *A* and *B*.