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FTCE Mathematics 6-12 (026): Practice & Study Guide  /  Math Courses

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FTCE 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 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. 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 3 3. Which of these is a correct definition of a vector quantity?

Question 4 4. Which of these is NOT a way you can manipulate vectors mathematically?

Question 5 5. If the following image is the vector F1, what would negative F1 look like?

Page 2

Question 6 6. When might you need to subtract vectors?

Question 7 7. Two vectors are multiplied together. The answer that is produced is also a vector. What kind of multiplication is this?

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

Question 10 10. Which of the following is the definition of a vector?

Page 3

Question 11 11. 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 12 12. Which of the following shows the correct result vector of vector a minus vector b?

Question 13 13. 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 14 14. Which of the following is NOT an example of a situation when you might need to add vectors?

Question 15 15. Which of the following is the meaning of a scale drawing?

Page 4

Question 16 16. Which of the following statements is true?

Question 17 17.

Add the following two vectors.

Vector C (10, 2) and Vector D (3, -2)

Question 18 18. 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.)

Question 19 19. A + B where A is (1, 2, 3) and B is (7, 8, 9).

Question 20 20. Which of these equations is a case where you would NOT ever need to subtract two vectors?

Page 5

Question 21 21. Which of the following is NOT an example of a vector quantity?

Question 22 22. (10, 7) - (-1, -2)

Question 23 23. 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 24 24. Multiply vector E (5, 1, 2) by -3.

Question 25 25. What does a vector look like?

Page 6

Question 26 26. How do you add vectors geometrically?

Question 27 27. 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 28 28. Which of the following is an example of a vector?

Question 29 29. 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 30 30. What is the resultant of vectors (how is it defined)?

FTCE 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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