plusminus Dot Product Learning Goal: To use the dot product to find the componen

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plusminus Dot Product Learning Goal: To use the dot product to find the components of forces acting in arbitrary directions. A three-legged structure is shown below. It is attached to the ground at points B = (4.90. 0. 0) and C = (-4.90. 0. 0) and connected to the ceiling at point A = (-5.9, 3.17, 5.69). The three legs connect at point D = (0. 2.49. 4.00). where two forces. F and P, act. Force F is given by F 8.40 i - 20.0 j + 23.4 k N: P has magnitude 20.0 N and direction angles alpha = 119.0 degree. beta = 35.0 degree, and gamma = 70.0 degree for the x, y, and z axes, respectively. (Figure 1) Finding the Cartesian components of a force described by direction angles Find the Cartesian components of force P acting in the x, y, and z directions given P = 20.0 N. alpha = 119.0 degree, beta = 35.0 degree, and gamma = 70.0 degree. Recall that alpha is the angle between the vector and the x axis, beta is the angle between the vector and the y axis, and gamma is the angle between the vector and the z axis. Express your answers, separated by commas, to three significant figures. Submit Hints My Answers Give Up Review Part Finding the angle between forces Find the angle 0 between forces F and P. Express your answer to three significant figures in degrees. Submit Hints My Answers Give Up Review Part Determining the force along a member Determine the magnitude, FDA. acting along member DA. due to the applied force F = 8.40 i - 20.0 j + 23.4 k N. Express your answer to three significant figures and include the appropriate units. Submit Hints My Answers Give Up Review Part Finding the component of a force perpendicular to a direction Givn F = 8.40 i - 20.0 j + 23.4 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||) with respect to DA equals F. Express your answer in component form. Express your answers, separated by commas, to three significant figures. Submit Hints My Answers Give Up Review Part

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