|MadSci Network: Physics|
Every explanation I have ever seen of why a gyroscope works the way it does starts with a definition of the cross product. Included in this definition is the fact that the cross product of 2 vectors, a & b, is another vector that is perpendicular to a & b and obeys the right-hand rule. I have never seen a justification for this definition (except occassionally in math texts the justification is that it explains a gyroscope). My question is this: Is there any "real" reason for the definition of the cross product or was it defined simply to coincide with our experience of nature? If it is defined so that it agrees with our experience, is there any way to see why it was defined this way without reference to a gyroscope?
Re: Why is the cross product defined the way it is (Gyroscope)
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