Is it necessary that a physical quantity having direction and magnitude is a vector? Explain with reasons.

its a universal law in physics.if any quantity has direction and magnitude then it ought to be a vector quantity.

No.....................................

It is not necessary that a quantity having both direction and magnitude is a vector.

If it has both but does not follow vector addition then it is not vector.

e.g. electric current has both mag. and dir. but do not follow vector addition hence it is not a vector quantity.

for more help again post........................

Dear Pranjusmrita Kalita,

Not at all !

A Physical quantity having both dircetion & magnitude is not always a vectors if it does not follwo Vector Addition !

An Example will be Electric Current which has both Magnitude & Direction but it does not follow vector addition & that's why it isn't a Vector !

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