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Yes and no. In introductory courses, all sorts of pointy things get called vectors fairly indiscriminately, but there are some important distinctions and near misses. In particular, in precise usage, a vector has to have the same transformation properties as a displacement vector, which of course is the canonical example. This excludes a bunch of things like angular velocity, area and magnetic field, which are classed as pseudovectors because they transform like displacement vectors under rotations, but change sign if you flip the handedness of the coordinate system.
Also sometimes excluded are dual vectors (a.k.a., covariant vectors or covectors) which typically represent gradients of functions. Again, they transform like vectors under rotations, but under scaling of the coordinate system they transform oppositely because they have implicit units of something per meter rather than meters.
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