Please show your work for each question 1) What is the difference between Polar and Spherical Coordinates? Illustrate it with an example(s) (2 Marks) 2) What is [-5, 1, 4] in Spherical Coordinates? Show it in both coordinate systems (Cartesian and Spherical) (3 Marks)3) Given a vector of length 10 and angle of 85" what are its Cartesian Coordinates? Show it in both coordinate systems (Cartesian and Polar) (2 Marks) 4) Normalize the following vectors: (1Mark) a. [8, -3, 32] 5) Classify the angle between the following vectors as acute, right or obtuse; draw vectors referring to a coordinate system: (4 Marks) a. [10, 7, 2], [-11, -4, -19] b. [1, 2, 1], [2, -2, 3]6) Is the player in the field of view of the guard? (Assume the guard can see 90 in each side), Draw it graphically. (3 Marks) a. Guards position = (-3, 10) Guards direction = [10, 5] Players position = (1, 5) 7) The current position of our ship is at (2, -2, 5), our ship is currently facing a enemy planet that is located on (-5,-2,-2). At what angle should we rotate the ship if we want to land on our planet which is at location (2, -2, 1)? Show it graphically. (4 Marks)