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**HallsofIvy** Vectors in a general vector space do not **have** "components".

After you have defined a basis for the vector space, **then** you can talk about "components". If, for example, your basis is $\displaystyle \{v_1, v_2, \cdot\cdot\cdot, v_{14}\}$, then any vector, v, in that space can be written $\displaystyle v= a_1v_1+ a_2v_2+ \cdot\cdot\cdot+ a_{14}v_{14}$. In that case, the "components of v" in **this** basis, are the scalars $\displaystyle a_1, a_2, \cdot\cdot\cdot, a_{14}$.

Any n dimensional vector space is **isomophic** to $\displaystyle R^n$ but it is wrong to say it "is" $\displaystyle R^n$. Exactly what that isomorphism is and how each vector would written in "components" depends, as I said before, on the choice of basis.