yes, b/c it is directed from north to south pole of a magnet.
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When one refers to the strength of a magnetic field, they're usually referring to the scalar magnitude of the magnetic field vector, so no.
Vector.
A magnetic field is neither: it is a vector field with both direction and quantity.
Charge is not a vector.
Er.. I'm not Einstein ;-) but I'll try and put you on the right track... The term "magnetic vector" refers to the amplitude and direction of the magnetic field associated with an electromagnetic wave. Hope this helps!