University:
Cornell University
Course:
MATH 1110 | Calculus I
Academic year:

2023
Views:

347

Pages:

6
Author:

Talan Wilkinson

Advanced Math Vectors Quiz Review Name: Section 7.3 Draw the vector from to . Then, find the vector in component form with the initial point terminal point . Finally, draw the vector in component form. 1. ( ) and ( ) 2. ( ) and ( ) and 1.)_______________ 2.)_______________ Find the magnitude and direction for the given vector. Draw the vector to help decide the direction! Estimate the magnitude to the nearest tenth. Estimate the direction to the nearest tenth of a degree. 3. 〈 〉 4. 〈 〉 3.)_______________ Magnitude 3.)_______________ Direction 4.)_______________ Magnitude 4.)_______________ Direction 1 Find the magnitude and direction for the given vector. Draw the vector to help decide the direction! Estimate the magnitude to the nearest tenth. Estimate the direction to the nearest tenth of a degree. 5. 〈 〉 〈 6. 〉 5.)_______________ Magnitude 5.)_______________ Direction 6.)_______________ Magnitude 6.)_______________ Direction 〈 Given 7. ‖ ‖ 〉, 〈 〉 and 〈 8. ‖ ‖ 〉 9. ‖ ‖ 7.)_______________ 8.)_______________ 9.)_______________ 10. ‖ ‖ 11. ‖ ‖ 12. 10.)______________ 11.)______________ 12.)______________ 2 〈 Given 〉, 13. 〈 〉 and 〈 〉 15. ‖ 14. ‖ 13.)______________ 14.)______________ 15.)______________ Find the unit vector in the direction 16. 〈 〉 of by dividing each component of 17. 〈 〉 by the magnitude of . 16.)______________ 17.)______________ Given and 18. , find the following: 19. 18.)______________ 19.)______________ 20. ‖ ‖ 21. ‖ ‖ 20.)______________ 21.)______________ 22. ‖ ‖ 23. 22.)______________ 23.)______________ 3 Draw vectors and on the same coordinate plane. Then, find the dot product of ‖ ‖. Finally, find the measure of the angle between the two vectors. 24. 〈 〉 and 〈 and , ‖ ‖ and 〉 ‖ ‖ ‖ ‖ Angle between the two vectors = ___________ 25. 〈 〉 and 〈 〉 ‖ ‖ ‖ ‖ Angle between the two vectors = ___________ 26. 〈 〉 and 〈 〉 ‖ ‖ ‖ ‖ Angle between the two vectors = ___________ 4 Draw vectors and on the same coordinate plane. Then, find the dot product of ‖ ‖. Finally, find the measure of the angle between the two vectors. 27. and , ‖ ‖ and and ‖ ‖ ‖ ‖ Angle between the two vectors = ___________ 28. and ‖ ‖ ‖ ‖ Angle between the two vectors = ___________ 29. and ‖ ‖ ‖ ‖ Angle between the two vectors = ___________ 5 Vectors Quiz Answer Key 1. 〈 〉 2. 〈 〉 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 〈 16. 〈 〉 〉 14. 〈 17. 〈 19. 20. 22. 23. 24. ‖ ‖ 25. ‖ ‖ ‖ ‖ 27. ‖ ‖ ‖ ‖ 29. ‖ ‖ 15. 18. 21. ‖ ‖ ‖ ‖ ‖ ‖ 〉 〉 ‖ ‖ 26. 28. 〉 〈 ‖ ‖ ‖ ‖ 6

Math Vectors Quiz Review Answer Key

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