I tried these and wasn't able to figure them out.

16. A pilot flies on a heading of 320 with an air speed of 240 km/h. Her actual ground velocity is 250 km/h at a bearing of 318". Calculate the speed and direction of the wind. (4 marks) 17. A ship's course is set at a heading of 143 at 18 knots. A 10-knot current flows at a bearing of 112. Use Cartesian vectors to determine the resultant velocity of the ship and its bearing? (4 marks) 18. A traffic light at an intersection is hanging from two wires of equal length making angles of 10 below the horizontal. The traffic light weighs 2500 N. What are tensions in the wires? (2 marks) 19. A video store sells DVD movies and video games. Suppose 68 movies are sold at $25 each and 43 video games are sold a $54 each. a. Determine a representation of the sales vector, s. (1 mark) b. Determine a representation for the price vector, p. (1 mark) c. Find s . p. (1 mark) d. Interpret the meaning of s . p in this problem. (1 mark) 20. Proven = [- 2,5, 1], V = [2,1, - 1] and w = [-6,0, - 12] are orthogonal. (4 marks) 21. Determine the value of k so that u = [- 5, k, 3] and # = [1,2, - 7] are orthogonal. (2 marks) 22. Given the symmetric equations =and = , find the vector equation of the line. (2 marks) 23. Find the angle between the vectors a = [- 9,1, 3] and v = [0,2, -5]. (3 marks) 24. Solve the system. (4 marks) [x, y] = [-9, - 1] + $[2,3] [x, y] = [- 8,2] + 1[2,1] 25. Find the intersection of the line [x, y, z] = [1,4, - 2] + /[1, - 1,3] and the plane 2x - 4y + 7z - 26 = 0. (6 marks)