Let a,b,c$\ne0$. Show that the set of all points whose barycentric coordinates λ,μ,ν that satisfy aλ+bμ+cν=0 is a line
L is line in the plane iff L=p+[v] where v is direction vector If we have three non colliner points Abd if lemda and mew and ve are the bary centric corrdinat of points in plane , prove that if lemda a+mewb+ve*c=0 wherea,b,c real not all zero prove it forms line