Find all unit vectors in the plane determined by u = (3,0,1) and v = (1,-1,1) that are perpendicular to the vector w = (1,2,0).

Explain why you solve it like you do.. Thanks!

Question

Find all unit vectors in the plane determined by u = (3,0,1) and v = (1,-1,1) that are perpendicular to the vector w = (1,2,0).

Explain why you solve it like you do.. Thanks!

amistre64 · Answer

2 vectors in the plane help to stabalize a surface.  All you really need is 3 noncolinear  points and that in itself creates 2 vectors in the plane

amistre64 · Answer

the perp vector, also called the normal, i used as the perp to ALL the vectors in the plane since it is 90 degrees to the surface

zarkon · Answer

consider the equation $$[a(3,0,1)+b(1,-1,1)]\cdot (1,2,0)=0$$