Question 1 (10 points)

(07.07 HC)





An object is suspended by two cables attached at a single point. The force applied on one cable has a magnitude of 150 pounds and acts at an angle of 55°. The force on the other cable is 80 pounds at an angle of 170°.



Part A: Write each vector in component form. Show all necessary work. (4 points)



Part B: Find the dot product of the vectors. Show all necessary calculations. (3 points)



Part C: Use the dot product to find the angle between the cables. Round the answer to the nearest degree. Show all necessary calculations. (3 points)