Part A Learning Goal: To identify the correct notation for a point and a vector, determine the position vector of a point relative to another point, and calculate the corresponding unit vector. Although vectors are often constructed from points, points are not vectors. Vectors are commonly constructed from either: (1) the origin to a point or (2) a starting point to an ending point. As shown on the coordinate system, points A and B have the following distances from the origin: A = 3.00 ft, ZA =2.50 ft, xB = 2.70 ft, yB = 1.20 ft, and zB = 1.50 ft. (Figure 1) Which of the following statements correctly describes the location and position vector of point A from the origin? Use appropriate notation for the location and position vector of a point. Check all that apply. ▸ View Available Hint(s) The position vector of A is given as {3.00 i +0.00 j +2.50 k} ft. The location of A is given as A(3.00 i +2.50 k} ft. The position vector of A is given as (3.00, 0.00, 2.50} ft. The position vector of A is given as (3.00 i +2.50 k} ft. The location of A is given as A(3.00, 0.00, 2.50) ft. The position vector of A is given as (3.00, 0.00, 2.50) ft. The location of A is given as A(3.00, 0.00, 2.50} ft. The location of A is given as A(3.00 i +0.00 j +2.50 k} ft. The location of A is given as A(3.00 i, 2.50 k) ft. The position vector of A is given as (3.00 i, 2.50 k) ft. Figure 1 of 3 Submit Previous Answers × Incorrect; Try Again; 5 attempts remaining Part B 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 = (4.04, 0, 0) and C (-4.04, 0, 0) and connected to the ceiling at point A = (-4.92, 3.79, 4.87). The three legs connect at point D = (0, 3.23, 2.00), where two forces, F and P, act. Force F is given by F 9.60 i 13.5 j + 24.8 k N; P has magnitude 50.0 N and direction angles a=120.0°, ẞ= 49.0°, and y = 55.6° for the x, y, and z axes, respectively. (Figure 1) Part C - Determining the force along a member Determine the magnitude, FDA, acting along member DA, due to the applied force F = 9.60 i - 13.5 j + 24.8 k N. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) FDA = 2.86 N Figure 1 of 1 B Submit Previous Answers Correct Part D - Finding the component of a force perpendicular to a direction Given F = 9.60 i - 13.5j +24.8 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 = F₁+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) ΕΧΕΙ ΑΣΦ ΑΣΦ vec F D FIDA 11.3, 13.7, +23.8 Submit Previous Answers Request Answer × Incorrect; Try Again; 4 attempts remaining ? iN,j N, k N