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# Scalars & Vectors in Algebra 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. What is a dot product?

#### Question 2 2. 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?

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

#### Question 4 4. What is the difference between a vector and a scalar?

#### Question 5 5. If you calculate the cross products AxB and BxA, how will the results compare?

### Page 2

#### Question 6 6. When you complete a cross product between two vectors, what is the nature of the result you get?

####
Question 7
7.
A = <7,9,4>

B = <6,1,5>

What is A - B?

#### Question 8 8. Which of these is a three-dimensional vector?

#### Question 9 9. What is the magnitude of the three-dimensional vector <4,6,-8>?

#### Question 10 10. A longer vector has a greater ____ than one with a shorter length?

### Page 3

#### Question 11 11. The angle of a vector's line is a measure of which of these?

#### Question 12 12. Which demonstrates why magnitude is important?

#### Question 13 13. A speed limit sign along a highway in Montana says 70 mph. This information on this sign is an example of

#### Question 14 14. Which of the following is considered a vector quantity?

#### Question 15 15. Scalar is

### Page 4

#### Question 16 16. What is rectangular approximation?

#### Question 17 17. For a linearly decreasing force, the best way to find the area under the curve is

#### Question 18 18. Which best describes work?

#### Question 19 19. Which of the following correctly shows how to subtract vector b from vector a?

#### Question 20 20. Which of the following correctly shows how to add two vectors (adding the blue vector to the red vector)?

### Page 5

#### Question 21 21. What does the length of an arrow in a vector diagram represent?

#### Question 22 22. If you were to draw a vector from the tip of one vector to the tail of another, which would you be doing?

#### Question 23 23. Which of the following vector operations is accomplished by inverting the scalar?

#### Question 24 24. Which of the following is the same as vector addition except that the second vector is rotated 180 degrees?

#### Question 25 25. Vectors are _____ if they lie in the same plane.

### Page 6

#### Question 26 26. Which of the following statements is TRUE about vectors that are parallel?

#### Question 27 27. For the vector (4, 6, 12), what is the unit vector?

#### Question 28 28. 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 29 29. What is the general definition of vector resolution?

#### Question 30 30. Which of the following could NOT possibly represent the same motion as the others?

#### Scalars & Vectors in Algebra 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!