\f37) A person pulls a sleigh, exerting a force of 180 N along a rope that makes an angle of 30 to the horizontal. Write this force in component form as a Cartesian vector. 38) A person pushes a lawnmower with a force of 250 N. The handle makes an angle of 35 with the ground. Write this force in component form as a Cartesian vector. 39) Calculate the dot product of each pair of vectors. a) b) 161 =115 c ) 70 la| =70 Id| = 12 171 =150 150* 12-8 |21 = 200 d) u = [2,4], v = [3,-1] e) s = [9, -3], t = [3, -3] f) a = 21 + 3j, b = 91 - 7j