Sendo $\phantom{X}a\,\neq\,c\;$, $\phantom{X}a\,\neq\,b\phantom{X}$ e $\phantom{X}b\,\neq\,c\;$, resolver o sistema:$\phantom{X}\left\{\begin{array}{rcr} \;x\;+\;y\;+\;z\phantom{X}=\,\phantom{X}0& \\ \;ax\,+\,by\,+\,cz\phantom{X}=\phantom{X}0 & \\ \; a^{\large 2}x\,+\,b^{\large 2}y\,+\,c^{\large 2}z\phantom{X}=\;& \,(c\,-\,a)(b\,-\,a)(c\,-\,b) \\ \end{array} \right.\,$
resposta:
V = {(c - b; a - c; b - a)}×