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NMTA 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!

Page 1

Question 1 1. Which of the following is NOT an example of a vector quantity?

Question 2 2. Which of the following is the definition of a vector?

Question 3 3. What is the resultant of vectors (how is it defined)?

Question 4 4. Which of the following is NOT an example of a situation when you might need to add vectors?

Question 5 5. 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.)

Page 2

Question 6 6. Which of these equations is a case where you would NOT ever need to subtract two vectors?

Question 7 7. 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 8 8. Which of the following is the meaning of a scale drawing?

Question 9 9. 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 10 10. When might you need to subtract vectors?

Page 3

Question 11 11. 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 12 12. 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.

Question 13 13. 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?

Question 14 14. 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.)

Question 15 15. If the following image is the vector F1, what would negative F1 look like?

Page 4

Question 16 16. Which of the following is an example of a vector?

Question 17 17. Which of the following shows the correct result vector of vector a minus vector b?

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

Question 19 19. How do you add vectors geometrically?

NMTA 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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