Axial & Polar Vectors: List & Examples

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The discussion revolves around the request for a comprehensive list of axial and polar vectors. Participants express that the request is vague and challenging, likening it to listing all numbers between 1 and infinity. The complexity of defining and categorizing these vectors is acknowledged, suggesting that a more specific inquiry could yield better results. Overall, the conversation highlights the difficulty in compiling exhaustive lists of vector types in physics and mathematics. Clarifying the context or purpose of the request may lead to more fruitful contributions.
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Can you list as many axial vectors and polar vectors as possible?
 
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kolua said:
Can you list as many axial vectors and polar vectors as possible?
Is this something like writing down all the numbers between 1 and ∞ ?

I'm afraid your question is kinda vague.
 

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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
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