1. Jeff Bivin -- LZHS Vector Applications By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org Last Updated: February 14, 2011

2. Jeff Bivin -- LZHS Find the component form of the vector that represents the velocity of an airplane descending at a speed of 150 mph at an angle of 30 o below the westward horizontal. 150 mph 30 o 210 o

3. Jeff Bivin -- LZHS 35 o An airplane is traveling at a speed of 600 mph with a bearing of N35 o W at a fixed altitude and no wind. As the plane crosses the Mississippi river, it encounters a wind blowing with a velocity of 60 mph in the direction of N40 o E. What is the resultant speed and direction of the plane? 600 mph 125 o 40 o 50 o 60 mph 600 mph plane windresult 60 mph

4. Jeff Bivin -- LZHS 35 o 600 mph 125 o 40 o 60 mph 50 o 600 mph plane windresult

5. Jeff Bivin -- LZHS Joey is playing tug of war with his two best friends. He is pulling with a force of 60N at 210º Simon exerts a force of 30N at 45º. Austin exerts a force as well. To achieve equilibrium and thus, not lose the game, what is the force Austin must exert and at what angle? 60 N 210 o 45 o 30 N

6. Jeff Bivin -- LZHS 60 N 210 o 45 o 30 N

7. Jeff Bivin -- LZHS 60 N 210 o 45 o 30 N

8. Jeff Bivin -- LZHS A 10,000 pound object is suspended on a wire tied to two poles. The angle between the horizontal and the wire to the shorter pole is 22 o. The angle between the horizontal and the wire to the taller pole is 49 o. Find the tension in the cable to each pole. 10000 lbs 22 o 49 o f1f1 f2f2 158 o

9. Jeff Bivin -- LZHS 10000 lbs 22 o 49 o f1f1 f2f2

10. Jeff Bivin -- LZHS 10000 lbs 22 o 49 o f1f1 f2f2 Put in a Matrix and use RREF