vault backup: 2024-12-04 09:56:27
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@ -45,3 +45,7 @@ The dot product can be used to find the angle between two vectors.
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If $\theta (0\degree < \theta < 180\degree)$, is the angle between two nonzero vectors $\vec{u}$ and $\vec{v}$, then
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$$ \cos\theta = \dfrac{\vec{u}*\vec{v}}{|\vec{u}||\vec{v}|} $$
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# Work
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The work $W$ is done by a constant force $\vec{F}$ in moving an object from a point $P$ to a point $Q$ is defined by:
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$$ W = \vec{p} \cdot\vec{PQ} = |\vec{F}||\vec{PQ}|\cos\theta $$
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