32} Write the coordinates of each Cartesian Vector in the form [(1, b] and determine its magnitude. 48} Find the magnitude of the projection of a on 3 and also the vector projection of (I on 3 if a = [6, 1] and E = [11.5] 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. 37! 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. 49) A superhero pulls herself 15 m up the side of a wall with a with a force of 500 N, at an angle of 12 to the vertical. What is the work done? 52) Determine its exact magnitude. 57) Determine the angle between the vectors 9' = [6,1,2] and H = [-53.6] 59) Identify the type oftriangle with vertices A(2,3, -5), B(4,8,1), and C (6, 4,D)