grandes-ecoles 2022 Q5.5

grandes-ecoles · France · x-ens-maths-d__mp Proof Direct Proof of an Inequality

We consider the vector $$w_3 = \begin{pmatrix}-1\\0\\-1\end{pmatrix}.$$ Show that if $B(v,w_3)<0$, then $d(v_0, s_{w_3}(v)) < d(v_0,v)$.

We consider the vector
$$w_3 = \begin{pmatrix}-1\\0\\-1\end{pmatrix}.$$
Show that if $B(v,w_3)<0$, then $d(v_0, s_{w_3}(v)) < d(v_0,v)$.