Part D - Finding the component of a force perpendicular to a direction Given F =3.80 i -15.0 j + 27.6 kN, find the component of F that acts perpendicular to member DA such that the vector addition of the perpendicular and parallel components of F (F = F_ + F) with respect to DA equals F. Express your answer in component form. Express your answers, separated by commas, to three significant figures. View Available Hint(s) VO IT vec h ? FIDA = iN, j N, kN Submit Previous AnswersV PartA - Finding the Cartesian components of a force described by direction angles Find the Cartesian components of force P acting in the x, y, and 2 directions given P = 45.0 N. a = 148.59 ,8 = 70.0'3. and fr = 66.7. Recall that o: is the angle between the vector and the x axis. {3 is the angle between the vector and the y axis. and 7 is the angle between the vector and the z axis. Express your answers, separated by commas, to three significant figures. ' View Available Hintis} P: iN,jN,kN Previous Answers Learning Goal: To use the dot product to find the components of forces acting in arbitrary directions. Athree-legged structure is shown below. It is attached to the ground at points B = [3.37 , D. U} and C = [3.37 , U. 1]] and connected to the ceiling at point A = [4.19 , 3.27 , 5.0-4}. The three legs connect at point D = [I], 2.?1. 2.01)). where two forces. F and P, act. Force F is given by F = 3.81] i 15.0j l 2?.6 k N; P has magnitude 45.0 N and direction angles or = 148.5\". ,8 = Tilt)\". and 1r = 66.7": for the x. y, and z axes. resoectivelytg] Figure 1 DH Part C - Determining the force along a member Determine the magnitude, FDA, acting along member DA, due to the applied force F = 3.80 i - 15.0 j + 27.6 k N. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) HA ? FDA = Value Units Submit Previous AnswersPart B - Finding the angle between forces Find the angle 0 between forces F and P. Express your answer to three significant figures in degrees. View Available Hint(s) AEd vec 8 = O Submit Previous Answers