Question Number 159109 by mathocean1 last updated on 13/Nov/21
![Show that ∀ V_i ^→ and V_j ^→ : V_i ^→ ∧[V_j ^→ ∧(V_j ^→ ∧V_i ^→ )]=−V_j ^→ ∧[V_i ^→ ∧(V_i ^→ ∧V_j ^→ )]](Q159109.png)
$${Show}\:{that}\:\forall\:\overset{\rightarrow} {{V}}_{{i}} \:{and}\:\overset{\rightarrow} {{V}}_{{j}} : \\ $$$$\overset{\rightarrow} {{V}}_{{i}} \wedge\left[\overset{\rightarrow} {{V}}_{{j}} \wedge\left(\overset{\rightarrow} {{V}}_{{j}} \wedge\overset{\rightarrow} {{V}}_{{i}} \right)\right]=−\overset{\rightarrow} {{V}}_{{j}} \wedge\left[\overset{\rightarrow} {{V}}_{{i}} \wedge\left(\overset{\rightarrow} {{V}}_{{i}} \wedge\overset{\rightarrow} {{V}}_{{j}} \right)\right] \\ $$