I know if the number of coordinates are same in both the old and new frame then A.B=A`.B` . But if the number of coordinates are not same in both old and new frame then A.B=0 means that both the vectors A and B are perpendicular. Why is it so that if the number of coordinates of both the frames are not same, then both the vectors must be perpendicular.(adsbygoogle = window.adsbygoogle || []).push({});

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# Contravariant and covariant vectors

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