Find the components of the vertical force F=(0,-14) in the directions parallel to and normal to the plane that makes an angle π of with the positive x-axis as shown. Show that the total force is the sum of the two component forces. What is the component of the force parallel to the plane? What is the component of the force perpendicular to the plane? Find the sum of these two forces. Consider the points P(1,4,4) and Q(5,10,10). a. Find PQ and state your answer in two forms: (a, b, c) and ai +bj+ck. b. Find the magnitude of PQ. c. Find two unit vectors parallel to PQ. a. Find PQ. PQ = (,,) = (i+j+k b. Find the magnitude of PQ. The magnitude of PQ is (Type an exact answer, using radicals as needed.) c. Find two unit vectors parallel to PQ. The unit vector in the direction of PQ is (,). (Type exact answers, using radicals as needed.) The unit vector in the opposite direction of PQ is (,,). (Type exact answers, using radicals as needed.) Find the dot product v w and the angle between v and w. v=3i+j-3k, w=4i+4j+k (Simplify your answer. Type an exact value, using radicals as needed.) The angle between v and w is 0= °. (Do not round until the final answer. Then round to the nearest tenth as needed.) A 400-lb load hangs from three cables of equal length that are anchored at the points (-4,0,0), (2,2√3,0), and (2,-2√3,0). The load is located at (0,0,-4√3). Find the vectors describing the forces on the cables due to the load. What is the vector describing the force on the cable anchored at (-4,0,0)? <..>lb (Type exact answers, using radicals as needed.) What is the vector describing the force on the cable anchored at (2,2√3,0)? <,>lb (Type exact answers, using radicals as needed.) What is the vector describing the force on the cable anchored at (2,-2√3,0)? (,,) Ib (Type exact answers, using radicals as needed.) (2.-2√3,0) (-4,0,0) (2,2√3,0) (0,0,-4√3)