4. A cylinder with a radius of 4 rests on the xy plane with the center of its bottom sitting at the origin. a. Determine the vectors that connect the points of intersection of the cylinder edges and the x and y axes. Express these vectors as a linear combination of unit vectors. b. From the origin, there are two vectors: The first vector casts an angle of 20 to the xy plane and does not reach the top of cylinder, but it reaches a side of me cylinder. The second vector that reaches to the top edge casts an angle of 70. Determine Hie distance between the tips of these two vectors. c. There lies a vector called 0A. that is 120 degrees From the standard basis vector} that travels flat along on the xy plane to the edge of the cylinder. Determine vector 5A. d. Point B is at the top of the cylinder directly above point A. Determine 6.3. e. Determine vector EA