What is the basis of a subspace/plane

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Given the subspace $L=\{(a,b,c)\in \mathbb{R}^3 : 2a-4b-c=0 \}$ I need to find the projection of a vector onto this subspace. I therefore need to find the span of this subspace/plane. How do I do that?

Edit: the span of a subspace is probably not what I am looking for. What I believe I actually wanted to ask is what a basis of this subspace is such than $span=\{ \vec{V_1}, \vec{V_2}... \}$ spans the subspace $L$ and $V_1$ and $V_2$... is a basis for $L$

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$L$ has codimension $1$, as it is given by one linear equation (hyperplane) and so dimension $2$. A basis is e.g. $\{(2,1,0), (0,1,-4)\}$.