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

#### Question 2 2. What is the general definition of vector resolution?

#### Question 3 3. Which of the following vectors is NOT in component form?

#### Question 4 4. Which of the following is the definition of a vector?

#### Question 5 5. How do you add vectors geometrically?

### Page 2

#### Question 6 6. 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 7 7. Which of the following is NOT an example of a vector quantity?

#### Question 8 8. 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 9 9. If you fire a cannonball at a shallow angle, how will the x and y components of its velocity compare?

#### Question 10 10. Vector A has a magnitude of 4 units, vector B has a magnitude of 8 units. If the angle between them is 35 degrees, what is the dot product of vectors A and B?

### Page 3

#### 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 statements is true?

#### Question 13 13. When do we use dot products?

#### Question 14 14. If you're pushing a box with a force of 8 newtons sideways in the positive x-direction, 3 newtons down in the negative y-direction, and 1 newton forwards in the positive z direction, how would you represent that force in component form?

#### Question 15 15. A cannonball is fired with a velocity of 10 m/s upward from horizontal and 30 m/s to the west. What is the angle and direction of the cannonball?

### Page 4

#### Question 16 16. If you shoot something up at a high angle, how will the x and y components compare?

#### Question 17 17. 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 18 18. A cannonball is shot at an angle of 55 degrees above the horizontal, with a force of 80 Newtons. What is the magnitude of the force vector that applies to the cannonball?

#### Question 19 19. How would you write 50 newtons east, and 70 newtons south in component form? (Use north to south as the y-axis, and east to west as the x-axis, like in the lesson.)

#### Question 20 20. A tennis ball is traveling at 20 m/s west and 5 m/s up. What is the overall magnitude of the tennis ball's velocity vector?

### Page 5

#### Question 21 21. If an object is moving at 4 m/s in the x-direction, and 2 m/s in the y-direction, what is the velocity of the object written in terms of standard basis vectors?

#### Question 22 22. 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 23 23. What is the dot product of 3i + 2j, multiplied by 4i + 8j?

#### Question 24 24. 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 25 25. Which of the following could NOT possibly represent the same motion as the others?

### Page 6

#### Question 26 26. You're pushing a buggy with a force of 40 newtons forwards, and 10 newtons down. At what angle are you pushing the buggy?

#### Question 27 27. A truck is moving at 5 m/s north and 3 m/s west, while a person INSIDE the truck runs in a particular direction at a particular speed. The total velocity of the person (the combination of the velocity of the truck and the velocity of the person) is 6 m/s north and 1 m/s west. How fast must the person be moving inside the truck?

#### Question 28 28. If you calculate the cross products AxB and BxA, how will the results compare?

#### Question 29 29. Which of the following is the definition of a vector?

#### Question 30 30. Which of these is a correct definition of a vector quantity?

#### Vectors in Physics 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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