An object is suspended by two cables attached at a single point. The force applied on one cable has a magnitude of 110 pounds and acts at an angle of 50°. The force on the other cable is 60 pounds at an angle of 160°. Part A: Write each vector in component form. Show all necessary work. Part B: Find the dot product of the vectors. Show all necessary calculations. Part C: Use the dot product to find the angle between the cables. Round the answer to the nearest degree. Show all necessary calculations.

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Chapter1: Units, Trigonometry. And Vectors
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An object is suspended by two cables attached at a single point. The force applied on one cable has a magnitude of 110 pounds and acts at an
angle of 50°. The force on the other cable is 60 pounds at an angle of 160°.
Part A: Write each vector in component form. Show all necessary work.
Part B: Find the dot product of the vectors. Show all necessary calculations.
Part C: Use the dot product to find the angle between the cables. Round the answer to the nearest degree. Show all necessary calculations.
Transcribed Image Text:An object is suspended by two cables attached at a single point. The force applied on one cable has a magnitude of 110 pounds and acts at an angle of 50°. The force on the other cable is 60 pounds at an angle of 160°. Part A: Write each vector in component form. Show all necessary work. Part B: Find the dot product of the vectors. Show all necessary calculations. Part C: Use the dot product to find the angle between the cables. Round the answer to the nearest degree. Show all necessary calculations.
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