What I usually mean by a vector,(adsbygoogle = window.adsbygoogle || []).push({}); x, is a quantity which can be written (using Einstein summation convention) asx^{i}e_{i}=x^{i'}e_{i'}and so on. In other words the scalar components {x^{i}} change according to the set of base vectors {e_{i}} I choose.

But occasionally, in the context of changing bases (e.g. when dealing with rotations on Euclidian space), I want to refer to the column vector [x_{1},x_{2}...]^{T}, and to the column vector [x_{1'},x_{2'}...]^{T}. It would be very confusing to usexagain as the name for any one of these column vectors.

Is there any agreement as to different notations for a vector and for a column vector which expresses that vector on a particular basis. [I mean compact notations which don't show individual components.]

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# Notation for vectors

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