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Scalar and vector quantities

Scalar quantities: are those physical quantities  which can be described completely by magnitude only e.g.,Area,volume,mass,speed,density,distance,charge,energy,temperature,length,time,etc.

Scalar quantities have magnitude but no direction,they can be added,subtracted or multiplied by using simple rules of algebra.

Vector quantities are those physical quantities which possesses magnitude as well as direction ,e.g. Displacement,velocity,acceleration,momentum,force,impulse,electric field,gravitational field etc.

Vector quantities have magnitude as well as direction.e.g., to describe the motion of an object completely,we must specify both how fast it is moving and into which direction it is moving.

Vectors do not follow the laws of algebra,i.e.,vectors can not be added,subtracted or multiplied by the way of scalars,because in addition to magnitude vectors have direction also,so vectors can be added, subtracted or multiplied by using rules of vector algebra.The division of a vector by another vector is not a valid operation in vector algebra.

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