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# Vectors & Scalars in Math Chapter Exam

### Page 1

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

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

#### Question 3 3. When you complete a cross product between two vectors, what is the nature of the result you get?

#### Question 4 4. 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 magnitude of the cross product BxA?

#### Question 5 5. What is the dot product of vector A with an x length of 5 and a y length of 3 with vector B with an x length of 4 and a y length of 2?

### Page 2

#### Question 6 6. Vector A has a magnitude of 7 and vector B has a magnitude of 4. If the angle between them is 20 degrees, what is the dot product?

#### Question 7 7. Which of the following vector operations involves a scalar?

#### Question 8 8. Which of the following is the same as vector addition except that the second vector is rotated 180 degrees?

#### Question 9 9. 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 10 10. In component form, vector A is 3i + 6j, and vector B is i + 2j. What is the scalar product of these vectors?

### Page 3

#### Question 11 11. Which of the following is the definition of a vector?

#### Question 12 12. 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 13 13. Which demonstrates why direction is important?

#### Question 14 14. Which demonstrates why magnitude is important?

#### Question 15 15. A vector is

### Page 4

#### Question 16 16. Scalar is

#### Question 17 17. The absolute value of the triple scalar product is the _____

####
Question 18
18.
If the components of the vector **⃗a** = (2,0,0) and the components of the **⃗b** vector = (3,2,0), what is **⃗a** X **⃗b**?

#### Question 19 19. Which of the following is the meaning of a scale drawing?

#### Question 20 20. How do you add vectors geometrically?

### Page 5

#### Question 21 21. Which of these is NOT a way you can manipulate vectors mathematically?

#### Question 22 22. Which of the following is an example of a vector?

#### Question 23 23. What does a vector look like?

#### Question 24 24. 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 25 25. What is the x length of a vector with a start point of (1, 2) and an end point of (5, 8)?

### Page 6

#### Question 26 26. How might you phrase use of a scalar in everyday language?

#### Question 27 27. Which of these is a correct definition of a vector quantity?

#### Question 28 28. 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?

#### Question 29 29. The length of a vector's line is a representation of which of these?

#### Question 30 30. A speed limit sign along a highway in Montana says 70 mph. This information on this sign is an example of

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