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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,

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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. F1: 7Ui + 125j +45k1b.F2 = llb and forms the following angles with the A: y, and zaxes, respectively: 0: = 56.20, ,8 = 66.60, and 1! = 136.90. F3 = 10D 1b, forms the angle 425 = 26 with the zaxis, and forms the angle 6 = 35 between the xaxis and the projection of F3 in the my plane. q. Part A - Resultant of adding F, 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.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. Part C - Direction of a resultant For the given forces, F1, F; and Pa find the three direction angles a3, 33: and \"YR between the resultant force R123 found in Part B and the x, y, and zaxesl respectively. Express your answers. separated by commas, in degrees to three significant figures. Part D - Find the direction angle a when given direction angles B and y As shown, a force of 290 1b acts at the tip of a tower. Two of the force's direction angles are known, BRI = 36.50 and YR1 = 66.5 , that define the angles between the force and the y and z axes, respectively. Find OR1, the angle between R B1 the x axis and the force. Express your answer in degrees to three significant figures

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