1. The problem statement, all variables and given/known data Express the 5.2-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the scalar projections of F onto the x-axis and onto the line OA. I have attached an image of the problem. 2. Relevant equations Fx = Fcos(θ) Fy = Fcos(θ) Fz = Fcos(θ) 3. The attempt at a solution Firstly I tried to find the unit vector nxy nxy = sin(4)i + cos(4)j Then I tried to find the unit vector of F: nF = cos(41)nxy + sin(41)k which becomes: nF = cos(41)[sin(4)i + cos(4)j] + sin(41)k n = cos(41)sin(4)i + cos(41)cos(4)j + sin(41)k Then F = F°nF (dot product) F = 5.2[cos(41)sin(4)i + cos(41)cos(4) + sin(41)k] F = 0.2738i + 3.9149j + 3.412 k I checked that this was true by squaring i, j and k, adding them together and then squaring the result. sqrt(0.2738^2 +3.9149^2 + 3.412^2)) = 5.20 kN However, it says that only my value for K is correct. With the projection of F onto OA I used the dot product, whereby: F = 0.2738i + 3.9149j + 3.412k n)A = cos(33)i + sin(33)j F°nOA = (0.2738*cos(33))i + (3.9149*sin(33))j + 3.142k*0 F°nOA = 0.2296 + 2.132 = 2.36187 kN Unsurprisingly this was wrong too. Any suggestion for where I'm going wrong?