# Vectors in Physics Lesson Plans Chapter Exam

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 the definition of a vector?

#### Question 2 2. A cannonball is fired to the west at an angle of 60 degrees above the horizontal, with a velocity of 20 meters per second. What is the y-component of this velocity?

#### Question 3 3. What does magnitude mean in terms of vectors?

#### Question 4 4. 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 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. What is the resultant of vectors (how is it defined)?

#### Question 7 7. 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 8 8. Two people, A and B are pulling a flag in a 2D tug of war. Person A is applying a force 25 newtons west, and 50 newtons north. The total force is 70 newtons west, and 10 newtons south. What force must person B be applying?

#### Question 9 9. You're pushing a shopping cart with a 20 N force downwards and a 50 N force forwards. What is the overall magnitude of the force you're applying?

#### Question 10 10. Which of the following is a correct representation of vector a minus vector b?

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#### 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 these equations is a case where you would NOT ever need to subtract two vectors?

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

#### Question 14 14. Why do we use standard basis vectors in physics?

#### Question 15 15. Which of the following is NOT an example of vector multiplication? (In other words, which calculation does not have a vector for an answer?)

### Page 4

#### Question 16 16. Which of the following could NOT possibly represent the same motion as the others?

#### Question 17 17. When do we use dot products?

#### Question 18 18. When you complete a cross product between two vectors, what is the nature of the result you get?

#### Question 19 19. Which of these is a correct definition of a vector quantity?

#### Question 20 20. What is the general definition of vector resolution?

### Page 5

#### Question 21 21. Which of the following is NOT an example of a situation when you might need to add vectors?

#### Question 22 22. Vector A has a magnitude of 10 units. Vector B has a magnitude of 5 units. There is an angle of 40 degrees between them, as shown in the diagram. What is the DIRECTION of the cross product BxA?

#### Question 23 23. Which of the following is NOT an example of a vector quantity?

#### Question 24 24. Which of the following is the meaning of a scale drawing?

#### Question 25 25. What is a dot product?

### Page 6

#### Question 26 26. Which of the following is an example of a vector?

#### Question 27 27. 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 28 28. If the following image is the vector F1, what would negative F1 look like?

#### Question 29 29. Why is it helpful to split a vector at an angle into components?

#### Question 30 30. A cannonball is fired to the west at an angle of 60 degrees above the horizontal, with a velocity of 20 meters per second. What is the x-component of this velocity?

#### Vectors in Physics Lesson Plans 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!