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4. Determine the resultant of each combination of vectors. (4 marks) a. 25 km/h north and 81 km/h east b. 12 N on a bearing
4. Determine the resultant of each combination of vectors. (4 marks) a. 25 km/h north and 81 km/h east b. 12 N on a bearing of 30' and 15 N on a bearing of 140 5. Determine the vertical and horizontal components of each force. (4 marks) a. 810 N at an inclination of 75" clockwise from the horizontal. b. 80 m/s, 60" counter clockwise from the horizontal.6. Given 7 = [2, - 5]and V = [-7,2] find a. 5u (1 mark) b. 7 . (1 mark) c. VI (1 mark) 7. Given 17 = [-4,4, - 4] and # = [-5,6, 2] find a. 27 + 4V (1 mark) b. u (1 mark) C. H X (1 mark) d. lal (1 mark) 8. Find i . (1 mark) 55 lul = 23 IV = 31 9. Find the volume of the parallelepiped defined by the vectors. (2 marks) 1 = [8, - 3,4]7 = [-2,9, 1]w = [0, -4, -7] 10. Given # = [10,4] and # = [12, - 13], find the projection of # on v. (2 marks) 11. Given the force, in Newtons, to be [15,12] for an object moving along the vector [7,3] in metres, find the work done. (1 mark)
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