Considering two dimensional space, for example $xy$-plane, typical unit vector are $\vec{e}_{x}=\{1,0\}$ and $\vec{e}_{y}=\{0,1\}$. Instead of using these vectors, can we use the vectors $\vec{e}_{1}=\{\frac{\sqrt{3}}{2},\frac{1}{2}\}$ and $\vec{e}_{2}=\{\frac{1}{2},\frac{\sqrt{3}}{2}\}$, which are not orthogonal, to express an arbitrary vector in 2-dimensional space? I just checked the answer, and it seems to say that it is possible to express an arbitrary vector in 2-dimensional space in terms of $\vec{e}_{1}$ and $\vec{e}_{2}$. Is this true?
If it's true, are there any disadvantages when using the non-orthogonal unit vectors from the practical perspective?