1. The problem statement, all variables and given/known data Find all the unit vectors orthogonal on the line L. 2. Relevant equations L passes through the vectors u = [9; 7] and v = [1; -5] 3. The attempt at a solution I found the slope of L from the two vectors: 3/2. I know that to be orthogonal, the vector will have a slope of -2/3, and that to be a unit vector, the square root of (x^2 + y^2) will be 1. I tried to define the line using the slope and one of the vectors, coming up with y = -2/3x + 13, and then using this value for y in the square root equation to solve for x. However, the square root equation yields imaginary values. Could someone give me some guidance as to where I've gone wrong?