Question

Q : Why the physical quantities having both magnitude and direction may not be vectors ?

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Answer 1

electric current have both magnitude and direction but it is not avector because the formula of e.c. isV/R and voltage and resistance are scalar quantities .and two scalarquantities can never give a vector quantity .and it follows simple algebra rules. if any quantity having both direction and magnitude or they not follow the vector law of addition the anr not going to be called as vector .. all vector quantity follows vector law of addition
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Answer 2

Hey mate!

Here's your answer!!
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✵ Vectors are the physical quantities that have both the magnitude and direction. A vector quantity must have magnitude and direction and also it should follow the vector laws of addition.

✵ Let's see an example that is electric current. Yes, electric current has both magnitude and direction but it does not follow the vector laws of addition and hence it is not a vector quantity. This is because it has voltage and resistance that are scalar quantities. And we know that two scalar quantities can never give a vector quantity.

✵ And therefore, reaching to the final conclusion after our observation from the example, physical quantities having both magnitude and direction may not be vectors.
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