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Part A - Finding the Cartesian components of a force described by direction angles Learning Goal: To use the dot product to find the components

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Part A - Finding the Cartesian components of a force described by direction angles Learning Goal: To use the dot product to find the components of forces acting in arbitrary directions. Find the Cartesian components of force P acting in the x, y, and z directions given P = 40.0 N, a = 149.5, B = 88.5, and y = 59.5 . Recall that o is the angle between the vector and the x axis, B is the angle between the A three-legged structure is shown below. It is vector and the y axis, and y is the angle between the vector and the z axis. attached to the ground at points B = (5.05 , 0, 0) and C = (-5.05 , 0, 0) and connected to the Express your answers, separated by commas, to three significant figures. ceiling at point A = (-5.91 , 3.51 , 5.62). The View Available Hint(s) three legs connect at point D = (0, 2.66, 2.50), where two forces, F and P, act. Force F is given by F = 6.80 i - 17.5 j + 26.0 k N; P has ec magnitude 40.0 N and direction angles IVO AEQ ? a = 149.5, B = 88.5, and y = 59.50 for the x, y, and z axes, respectively.(Figure 1) P = i N, j N, KN Submit Part 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) Figure

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