Learning Goal: To find the resultant of multiple forces using Cartesian components and to determine the direction of this resultant from its components. As shown, three forces act on the tip of a pole. F =-50i +115 j +45 k lb. F =130 lb and forms the following angles with the x, y, and z axes, respectively: a = 54.2, = 66.6, and 7 135.0 F3 110 lb, forms the angle = 28 with the z axis, and forms the angle 27 between the x axis and the projection of F3 in the xy plane. Part A - Resultant of adding F1 and F3 Find the resultant of adding F1 and F3. Express your answer in component form. Express your answers, separated by commas, to three significant figures. View Available Hint(s) R13 11 vec i lb, j lb, k lb AES SHOWN, Bred forces act on the up of a pore F =-50i +115j+45 k lb. F = 130 lb and forms the following angles with the x, y, and z axes, respectively: a 54.2, -66.6, and y 135.0 F 110 lb, forms the angle = 28 with the z axis, and forms the angle = 27 between the x axis and the projection of F3 in the xy plane. For the given forces, F1, F2, and F3, find the three direction angles aR. BR. and YR between the resultant force R123 found in Part B and the x, y, and z axes, respectively. Express your answers, separated by commas, in degrees to three significant figures. View Available Hint(s) 19 11 vec ar, BR, TR- Submit ? Submit Part B - Resultant of adding F1 and F2 and F3 Find the resultant of adding F1, F2, and F3. Express your answer in component form. Express your answers, separated by commas, to three significant figures. View Available Hint(s) 10 . 11 vec R123 Submit ? i lb, j lb, k lb Part D - Find the direction angle a when given direction angles and y As shown, a force of 265 lb acts at the tip of a tower. Two of the force's direction angles are known, BR-38 and R1 = 65, that define the angles between the force and the y and z axes, respectively. Find or, the angle between the x axis and the force. B R Express your answer in degrees to three significant figures.