1. The problem statement, all variables and given/known data 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). 2. Relevant equations 3. The attempt at a solution I'm basically having trouble with the concept and visualizing the problem. Well first I found the normal of the points u and v, which i found n= (1, -2, -3). After this, I'm supposed to take the cross product of n and of w..why would this be? At the end, i found (6, -3, 4) and (-6,3,-4) but the answers say the same but all the x,y,z values are divided by the square root of 61...?? Could someone please clarify this? Do orthogonal solutions have infinitely many solutions?? Thanks a bunch.