Question
Can the scalar product of vectors be negative?
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Answer
The scalar product of two vectors $\vec{A}$ and $\vec{B}$ is $\overrightarrow{ A } \cdot \overrightarrow{ B }= AB \cos \theta$. If the value of $\theta$ is more than $90^{\circ}$ then the value of $\cos \theta$ will be negative corresponding to which the value of $\vec{A} \cdot \vec{B}$ will also be negative.
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