Consider the vectors u = ( -9,0) and v = ( -3, -3) . Sketch the vectors, find the angle between the vectors, and compute the dot product using the definition u . v = |u| |v| cos 0. Sketch the vectors. Choose the correct graph below. A. O B. O C. 10 O D. 10- X X X - to X -to From the sketch, what is the angle between the vectors? 0 = (Type an exact answer, using it as needed.) What is the dot product? (-9,0) . ( -3, - 3) = (Simplify your answer.)Compute the dot product of the vectors u and v, and find the angle between the vectors. u= ( - 11,0,6) and v = (1,3,5) . . U . V= 19 (Type an integer or a simplified fraction.) Find the magnitude of the vectors. u = and v = (Type exact answers, using radicals as needed.)Define the points P( - 2,2) and Q(3, - 4). Carry out the following calculation. Find two vectors parallel to QP with length 2. The parallel vector of length 2 with the same direction is (Type exact answers, using radicals as needed.)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 W - -E W W - S V J W V W g w VW The speed of the boat relative to shore is approximately (Round to the nearest tenth as needed.) hr. km/hr. hr/km. km.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 O A. FX = |F| cot 0 and Fy = |F| tan 0 O B. FX = |F| sin 0 and Fy = |F| cos 0 C. 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.)