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What Is The Difference Between Vector And Scalar. This changes with magnitude and direction: Scalar are those physical quantities that have only magnitude but no direction, and vectors are those physical quantities that have both magnitudes as well as direction.

Vectors and Scalars
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B = ab cos θ. But, a scalar field has (r) as codomain whereas a vector field has (r^n) with (n>1) as codomain. It changes with the change in their magnitude.