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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). |
The scalar product of two vectors A and B is represented by
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\begin{large} \[ \vec{A} \cdot \vec{B} \]\end{large} |
and is defined as c, where
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\begin{large} \[ c = \vec{A} \cdot \vec{B} = |A| |B| sin(\theta) \]\end{large} |
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.