Applications of Vectors Quiz

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Quizzes Created: 1083 | Total Attempts: 3,548,751
| Attempts: 65
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  • 1/12 Questions

    Find the magnitude of the vector <-5, 14>.

    • 10
    • 14.9
    • 15.2
    • 20.7
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About This Quiz

Are you aware of the concept of vectors in geometry? Take the applications of vectors quiz to see how much you know about the use of vectors in real life. Here, we have got some questions based on practical examples. Give this quiz a try and check your knowledge. All the best to get a perfect score on this quiz. If you find this quiz informative and helpful, do not forget to share the quiz results with others.

Applications Of Vectors Quiz - Quiz

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  • 2. 

    What is the direction angle (in degrees) for a boat traveling S20°E?

    • 50

    • 100

    • 290

    • 350

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  • 3. 

    A man walks 5 meters north, then 4 meters east, and finally 2 meters south. What is the magnitude of the resultant displacement of the man after the entire walk?

    • 2 m

    • 5 m

    • 7 m

    • 10 m

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  • 4. 

    The three vertices of a parallelogram ABCD are A (1, 2, 3), B (-1, -2, -1), and C (2, 3, 2). The coordinates of the fourth vertex, D are 

    • (4,7,6)

    • (-2,-3,-4)

    • (-2,-3,0)

    • (2,3,4)

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  • 5. 

    Calculate the direction angle (in degrees) for the vector <3, 12>.

    • 14.1

    • 75.9

    • -14.1

    • -75.9

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  • 6. 

    Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9).

    • 8

    • 8.9

    • 9.3

    • 10

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  • 7. 

    Find the component form of AB with initial point A(0, 8) and terminal point B(-9, -3)

    • <-9, -11>

    • <-9, 11>

    • <9, -5>

    • <-9, 5>

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  • 8. 

    A boat with a maximum speed of 3 m/s relative to the water is in a river that is flowing at 2 m/s. What is the minimum speed the boat can obtain relative to the shore? 

    • 1 m/s

    • 3 m/s

    • 4 m/s

    • Data is insufficient

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  • 9. 

    A pilot must fly due west at a constant speed of 300 mph against a wind of 50mph blowing in the direction 40° south of east. What direction and speed must the pilot maintain to keep on the course?

    • 339.825 mph at bearing of 34.573o

    • 339.825 mph at bearing of 74.573o

    • 339.825 mph at bearing of 40o

    • 339.825 mph at bearing of 80.56o

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  • 10. 

    A ship travels 100 km due West from the port and then changes course going 20° South of West for 140 km. Find the distance the ship is from its home port and the bearing of the ship from the port.

    • Option 1236.456 km at 168.317o bearing

    • 236.456 km at 171.683o bearing

    • 236.456 km at 290o bearing

    • Data is insufficient

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  • 11. 

    An airplane traveling north at 220 meters per second encounters a 50 meters-per-second crosswind from west to east.

    • 214 m/s

    • 170 m/s

    • 222 m/s

    • 226 m/s

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  • 12. 

    A force of 7 N North and a force of 5 N West are acting on a body. Find the resultant sum of the two forces and determine their strength. Find the direction of the force.

    • 8.602N at 54.962 north of west

    • 8.602N at 54.962 west of north

    • 8.602N at 144.962 south

    • None of the above

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  • Current Version
  • Aug 16, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 02, 2022
    Quiz Created by
    Sophia Smith
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