This is my first semester of physics as I did not take it in high school and I am having a difficult time with this homework question. Any help would be greatly appreciated. 1. The problem statement, all variables and given/known data The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550 m in a direction 24.0° north of east. Vector B is not along a measured trail, but the hiker uses a compass and knows that the direction is 41.0° east of south. Similarly, the direction of vector C is 18.0° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or vector A + vector B + vector C = 0. Find the magnitudes of vector B and vector C. 2. Relevant equations Vector A = Ax (x) + Ay (y) 3. The attempt at a solution I tried to solve this problem several different ways. Firstly I used the angle and m to form a right angle and used sin and cos to find Ax and Ay. Ax=630.44m Ay=1416m. After I figured this out I was unsure how to continue with finding the solution because I did not know how to find Bx, By, or Cx, and Cy. Next, I tried to draw a triangle coming back to the (0,0) by connecting the vectors. However, when I drew this out, I somehow ended up with angles of 41, 24, and 18 which are obviously way too small to make the 180 degrees necessary for a triangle. Once again, any help would be greatly appreciated. Thanks.