Define the points Q( - 6, -3) and R(4,4). Carry out the following calculation. Express QR in the form ai + bj. QR = (Simplify your answers.)The water in a river moves south at 5 km/hr. A motorboat is traveling due east at a speed of 39 km/hr relative to the water, determine the speed of the boat relative to the shore. . . . Let w represent the current; this means that | w| is the speed of the moving water and w points in the direction of the moving water. Assume that the vector vy gives the direction and speed of the boat relative the water, and the vector va gives the direction and speed of the boat relative to the shore. Place the vectors in a coordinate system. Choose the correct diagram below. A. O B. O c. OD. N N N N w -E w w . -E V w V IN W W V W W g The speed of the boat relative to shore is approximately (Round to the nearest tenth as needed.)A boat is towed with a force of 146 lb with a rope that makes an angle of 30 to the horizontal. Find the horizontal and vertical components of the force. . . . Consider the figure (not to scale) to the right. It shows the force vector F along with its horizontal and vertical components, Fx and Fy, respectively. Which of the following formulas will correctly evaluate Fx and Fy? F F O A. FX = |F | cot 0 and Fy = |F| tan 0 O B. FX = |F| sin 0 and Fy = [F| cos 0 CC. FX = [F| cos 0 and Fy = |F| sin 0 O D. FX = |F| tan 0 and Fy = [F| cote The horizontal and vertical components of the force are lb and Ib, respectively. (Type exact answers.)If a 700-lb load is suspended by two chains as shown in the figure to the right. What is the magnitude of the force each chain must be able to support? 450 450 700 1b Let F, and F2 denote the forces exerted by the chains on the load and let F be the downward force due to the weight of the load. Place the vectors in a standard coordinate system shown to the right. If the load is in equilibrium (so the chains and load are stationary), which of the following equations should stand? O A. F1 + F2 - F3 = 0 F 2 A B. F1 + F, + F3 = 0 O C. F1 - F2 + F3 = 0 OD. - F1 - F2 + F3 = 0 The force each chain must be able to support is V (Type an exact answer.)