Given a triangle in the plane, associate the outward unit normal to each side. a) For...

 

Transcribed Image Text:

Given a triangle in the plane, associate the outward unit normal to each side. a) For the triangle with vertices at (0,0), (1, 1) and (2,0) determine these three vectors. b) Show that for an arbitrary triangle if you scale these three vectors by the length of their corresponding side, then the resulting three vectors add up to the zero vector. Given a triangle in the plane, associate the outward unit normal to each side. a) For the triangle with vertices at (0,0), (1, 1) and (2,0) determine these three vectors. b) Show that for an arbitrary triangle if you scale these three vectors by the length of their corresponding side, then the resulting three vectors add up to the zero vector.