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Grade: 9
        
Are all physical quantities that have magnitude and direction vectors?Give examples to support your answer. When is the physical quantity called vector?
3 months ago

Answers : (2)

Arun
22545 Points
							No, it is not necessary that a physical quantity that has magnitude and direction be a vector quantity. ... for a quantity which has magnitude and direction but does does not follow vector laws of addition is electric current
						
3 months ago
Khimraj
3008 Points
							

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.

3 months ago
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