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Originally Posted by GUILLE the j, k, and i axes are all of imaginary numbers |
The i-j-k are unit vectors therefore the axes are directional axes. When directions are attached to numbers, they change from scalars to vector quantities. Some physical quantities can only be described by vectors: force, electric field, magnetic field, gravitational field, velocity, acceleration, position, etc. Some physical quantities can best be described by scalars: mass, energy, density, temperature, volume, etc.
There are two distinct generalized fields: scalar fields and vector fields (samples are given as mentioned above).
When vector fields are multiplied together the products are tensor fields.