Please show all work as necessary on a separate sheet(s). Use sentences to explain logic as needed. Late labs will not be accepted. 1 # 2404539 763 11. 2404 471221595 1bs = 50 N 1. Consider a 50N weight suspended by two wires attached to the ceiling. F1 = 35N creates an angle of a with the ceiling and F2 creates an angle of 60 with the ceiling. Find the angle a and the magnitude of F2. La 60 2. Show that the vector v = ai + bj is parallel to the line bx - ay = c. How do you do this? What do you need to show? Prove stating all logic. 50 3. Two helicopters H1 and H2 are travelling together. At time t = 0, they separate and follow different straight-line paths given by: H1: x = 6 +40t, y = -3+10t, z=-3+2t H2: x = 6 +110t, y = -3+ 4t, z=-3+t Time t is measured in hours, and all coordinates are measured in miles. Due to system malfunctions, H2 stops its flight at (446, 13 ,1) and, in a negligible amount of time, lands at (446, 13,0). Two hours later, H, is advised to this fact and heads toward H2 travelling at a speed of 150 mph. How long will it take Hj to reach H2? State the time in hours rounded to the nearest thousandth 4. Identify and sketch the quadric surface by hand, listing any intercepts and describing traces. 36x2 + 9y2 = 36 -422 There is optional isometric graph paper on the other page. I am not sure how it will print/scan, but it could be helpful when you are creating your sketches. 5. Identify and sketch the quadric surface by hand, listing any intercepts and describing traces. y = -(x2 + zz) . Visualize/Plot the Quadric Surfaces in Maple. See the files in the class Google Drive maple folder, download the virtual desktop, install, login, and open Maple remotely, save your graphs/work as a PDF and attach it to the end of your submission. Please make any notes or comments about the traces/intercepts as well. a. 36x2 + 9y2 + 422 = 36 b. y = -(x2+ zz) C. 4y2 + 22 - 4x2 = 4