Determining quantities as vectors or not

  1. Why are some quantities vectors while others aren't? For example, we can calculate both current and current density, but why do we only consider current density to be a vector and current a scalar quantity? Is it a purely arbitrary convention or is it something more mathematically fundamental? I understand vectors like forces and displacement have directions and magnitudes associated with them, but I don't quite understand why we don't do the same thing for quantities like current? Is it to simplify equations only?
     
  2. jcsd
  3. Current is a vector. The difference between current and current density is the dimensions of the vector. Current density is current per cross sectional area, or number of charges moving through a volume, while current is descriptive of charges moving along a line.
     
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