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dsaun777

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Is there a purpose of using covariant or contravariant tensors other than convenience or ease in a particular coordinate system? Is it possible to just use one and stick to one? Also what is the meaning of mixed components used in physics , is there a physical significance in choosing one over the other? For instance when breaking down a vector into its component form you can use covariant basis and contravariant components and vice versa but why? Sorry if this question seems redundant but I'm just puzzled.

**[Moderator's note: Moved from a mathematical forum. This is about physics. A mathematical answer would probably be a different one and might increase confusion rather than clarify it.]**
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