Question
Are physical quantities having both magnitude and direction always vector quantities?
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Answer
No. They are vector quantities if they obey the law of vector addition, i.e., $\overrightarrow{ A }+\overrightarrow{ B }=\overrightarrow{ B }+\overrightarrow{ A }$. For example, electric current, time etc. are scalar even while keeping the direction.
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