1. The problem statement, all variables and given/known data Find two unit vectors in 2-space that make an angle of 45(deg) with 7i + 6j. 2. Relevant equations Unit Vector = u = (1/||v||)*v Dot Product = u . v = ||u|| ||v|| cos(theta) 3. The attempt at a solution I've been thinking about a way to do this. I originally thought that unit vectors could only be in the direction of the vector specified, because direction was the only thing that mattered. I was thinking, if I found the unit vector of 7i + 6j, and then I multiplied that by cos(45), and sin(45), it would give me two solutions of unit vectors 45 degrees from the direction of 7i + 6j. I'm not sure if this thinking is correct.