Are all physical quantities that have magnitude and direction vectors ? Give example to support your answer . When is a physical quantity called vector ?

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Solution

No.example for such a physical quantity is electric current
electric current have both magnitude and direction but it is not a vector because the formula of e.c. is V/R and voltage and resistance are scalar quantities .and two scalar quantities can never give a vector quantity .and it follows simple algebra rules.

Also,they should also follow the law of parallelogram . for example current it has both magnitude and direction but don't follow the law of parallelogram of vector addition . so it's not a vector

A physical quantity is considered as a vector when it has both magnitude and direction and it should follow parellelogram law of vector addition.

Also a vector quantity should follow these properties:

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