1. The problem statement, all variables and given/known data Find the point on the line y = 2x+1 that is closest to the point (5,2) 2. Relevant equations Vector Projection (x^Ty/y^Ty)*y x and y are orthogonal (angle between them 90 degrees) if: x dot y = 0 3. The attempt at a solution There's a similar example in my book, but it has information that I'm missing. It gives an additional vector in the direction of the line. Then, in order to find the point on the line that's closest to the point given, he just takes the vector projection of v (which would be (5,2) in my case) onto w (vector in the direction of the line). This seems relatively straightforward to me, I just don't know how to obtain the value for the vector in the direction of the line. Any guidance? I'd appreciate it! Thanks!