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In [[physics]], '''work''' refers to the product of [[force]] and [[distance]] vectors
In [[physics]], '''work''' refers to the product of [[force]] and [[distance]] vectors
<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref>.
<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref>.
<br>
<math>\bold{W} = \bold{F} \cdot \bold{d}</math>
<math>\bold{W} = \bold{F} \cdot \bold{d}</math>
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Or, its integral form:
Or, its integral form:
<math>\int \bold{F} \cdot \mathrm{d}\bold{s}</math>
<math>\int \bold{F} \cdot \mathrm{d}\bold{s}</math>
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Or:
Or:
<math>\bold{W} = \bold{F} \cdot \bold{d} cos θ</math>
<math>\bold{W} = \bold{F} \cdot \bold{d} cos θ</math>
<br>
Where θ is the angle that separates the vectors. The second form of the equation is the expanded form of the "dot product" in the first equation. In physics, the dot product "a · b" (read "a dot b") can be rewritten as "a b cos θ".
Where θ is the angle that separates the vectors. The second form of the equation is the expanded form of the "dot product" in the first equation. In physics, the dot product "a · b" (read "a dot b") can be rewritten as "a b cos θ".