1. The problem statement, all variables and given/known data What is the angle between vectors E and F in the diagram? Use components to determine the magnitude and direction of G= E+F 2. Relevant equations sqrt(x^2 + y^2) is the equation for magnitude 3. The attempt at a solution All right. Given by the diagram that the end point of F is (-1,-2), I calculated that F's magnitude would be sqrt(5). Given E's diagram, its end point is (1,1), so its magnitude was calculated to be sqrt(2). Then since I have opposite and adjacent calculations, I would use tangent- tan (theta) = sqrt(2)/sqrt(5), and then take the arc tangent of that to get an answer of 35.9...which is wrong. Why? In regard to the second question about G, I am stumped. How do you add vectors together? Do you just add their coordinates?