What are the resultant components of the vectors? 1. The problem statement, all variables and given/known data Determine the sum of the following three vectors. Give the resultant in terms of a. components, b. magnitude and angle with x-axis. Vector A has a magnitude of 66 at an angle of 28 degrees northeast (quadrant 1) Vector B has a magnitude of 40 at an angle of 56 degrees northwest (quadrant 2) Vector C has a magnitude of 46.8 at an angle of 0 (on y-axis between Quadrant 3 and 4) 2. Relevant equations Vx = Dcos0 Vy = Dsin0 Vx = V1x+V2x+V3x Vy = V1y+V2y+V3y Vy/Vx = tan θ 3. The attempt at a solution So here is how I started A: Vx = +(66)(cos 28) = 58.27454 Vy = +(66) (sin 28) = 30.985 B: Vx = -(40)(cos 56) = -22.3677 Vy = +(40)(sin 56) = 33.1615 C: Vx = (46.8)(cos 0) = 46.8 Vy = (46.8) (sin 0) = 0 Then I would add the three parts of Vx to get overall Vx (58.27454-22.3677+46.8) = 82.70684 & the three parts of Vy to get overall Vy (30.085+33.1615+0) = 63.2467. This means the components would be (82.70684, 63.2467) and I would continue with pythagorean theorem to get the magnitude & use the arctan formula to get the angle. However, my answer for components is incorrect, the book says it should be (35.9,17.3). What did I do wrong? Thank you so much in advance.