# equation of the hyperplane orthogonal to the general line v

Given a line v in $R^n$ from point a to point b, what is the general equation of the hyperplane that passes through a and is orthogonalto v?

Ideally I am looking for the general solution in arbitrary dimensions.

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$$\left \langle x,v \right \rangle = \left \langle a,v \right \rangle$$
where $\left \langle p,q \right \rangle$ denotes the inner product between the vectors $p$ and $q$