Let ${\mathbf{v}}_0=⟨a,b⟩$. Describe the set of points $(x,y)$such that, for $\mathbf{v}=⟨x,y⟩$,

(a) $\mathbf{v}·{\mathbf{v}}_0=0$.

(b) $\left(\mathbf{v}-{\mathbf{v}}_0\right)·{\mathbf{v}}_0=0$.

(c) $\left(\mathbf{v}-{\mathbf{v}}_0\right)·\mathbf{v}=0$.

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