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NES Math: Vector Operations Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. Which of the following is a correct example of geometric vector addition? (NOTE: In these diagrams, the BLACK arrow is the total, and the blue and red arrows are the vectors we should be adding together.)

Question 2 2. How do you add vectors geometrically?

Question 3 3. In component form, vector A is 3i + 6j, and vector B is i + 2j. What is the scalar product of these vectors?

Question 4 4. An electric stair lift applies a force of 600 newtons directly upwards, moving the lift at a constant velocity of 0.1 meters per second. The power used by the stair lift is the scalar product of the force and velocity. If the stairs are at an angle of 60 degrees BELOW the HORIZONTAL, how much power is the stair lift using?

Question 5 5. Force A acts 2 Newtons west and 3 Newtons south. Force B acts 5 Newtons west and 2 Newtons north. What is the overall magnitude and direction of the resultant vector? Assume the x-axis runs west to east and the y-axis south to north.

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Question 6 6. Which of the following is NOT an example of a vector quantity?

Question 7 7. Which of the following is a correct representation of vector a minus vector b?

Question 8 8. Force A acts 2 Newtons west and 3 Newtons south. Force B acts 5 Newtons west and 2 Newtons north. What is the resultant of these two vectors?

Question 9 9. Which of the following is the meaning of a scale drawing?

Question 10 10. In a different tug of war, one team pulls with a force of 50 newtons at an angle of 30 degrees from the positive x-axis, and a second team pulls with a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total force and angle applied to the central ring. (NOTE: You will need paper, a protractor and a ruler to complete this question.)

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Question 11 11. Which of these equations is a case where you would NOT ever need to subtract two vectors?

Question 12 12. Which of the following is the definition of a vector?

Question 13 13. When might you need to subtract vectors?

Question 14 14. Two vectors are multiplied together. The answer that is produced is also a vector. What kind of multiplication is this?

Question 15 15. If vector 1 has a magnitude of 3, and a direction of 30 degrees below the negative x-axis, and vector 2 has a magnitude of 4, and a direction of 80 degrees below the negative x-axis, what is vector 1 minus vector 2? (Please complete this question geometrically using paper, a pencil and a ruler.)

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Question 16 16. Which of the following is NOT an example of vector multiplication? (In other words, which calculation does not have a vector for an answer?)

Question 17 17. Which of the following is NOT an example of a situation when you might need to add vectors?

Question 18 18. Which of these is NOT a way you can manipulate vectors mathematically?

Question 19 19. If the following image is the vector F1, what would negative F1 look like?

Question 20 20. Which of these is a correct definition of a vector quantity?

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Question 21 21. Force A acts 2 Newtons west and 3 Newtons south. Force B acts 5 Newtons west and 2 Newtons north. What is the resultant of these two vectors in unit vector form?

Question 22 22. What is the resultant of vectors (how is it defined)?

Question 23 23. Which of the following is an example of a vector?

Question 24 24. If you run around a field for a total of 1300 meters and end up back where you started, what was your distance, and what was your displacement?

NES Math: Vector Operations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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