MCV4U Vectors Lesson Assignment 3 In this assignment you are going to focus on: addition, subtraction, and multiplication of vectors. Total Marks: 55 marks Instructions: After completing the lesson action section of your home page, you are ready to complete your lesson assignment. Follow these steps. a) In the textbox given, explain the strategy that you used to determine your answer. b) Fill in your answer. The mark for each question is given at the introduction to the questions to be completed. c) When finished answering all your questions, save your file and upload the file into the appropriate dropbox. Part A (Putting the Concepts to Work): Completion ( 28 marks): Using your reading, answer the following questions: For each question you are asked to: a) identify the information given in the question. b) determine the appropriate formula. c) substitute the values given into the formula and find the solution. d) give the final answer. e) as part of your answer, give the page number in the reference material or the website that you used to find the answer to the question. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. When simplified, u + 3u - 2u equals(two marks) a. C. 0 b. 2u d. -2u 2. When simplified, 2(u - 3u ) equals(two marks) a. -4u C. b. 2u d. -2u MCV4U Lesson Assignment Page 1 3. When simplified, 2(u + v) - 3(u - v) equals(three marks) a. -u - V C. - 1 + 5v b. - 2 - 5v d. - utv 4. When simplified, 5(u + v) - 5(u + v) equals(three marks) 10(-u - V) 10 (2 + V) b. 7 d. utv 5. When simplified, -(u + v) - 2(u - v) equals((three marks) a. - u - V C. -3( 2 + V ) b. d. -32 + V 6. When simplified, 3(u + v) - 3(v -2) equals(three marks) a. 6V C. 6(2 + V) b d. ou7. When simplified, -(-u - v) -3(-2u -4v) equals(three marks) a. 13v C. -7(1 + V ) b. 7u + 13v d. -71 -13v 8. When simplified, (u + 2v) - 3(4u - 5v) equals(three marks) a. llu + 17v c. 1lu - 17v b. -11 # + 17v d. -112-17v MCV4U Lesson Assignment Page 2 9. When simplified, u + 2v+ w - (u - 3v + w) equals(three marks) a. 5v C. 21 - 5v+ 2w b. utv + w d. u +w 10. When simplified, (u + V - w) - (u - v + w) equals(three marks) a. V+w C. 2(V - W) b . 2 (2 + V + W ) d. o Part B (Terminology): Matching (20 marks) Using your readings, match each term with the correct definition provided. The name of the term is given in the table and the definitions are listed below. Match the name of the term and the corresponding definition. As part of your answer, identify the sources of your information. Each question is worth 2 marks. - one for the matching and one mark for your proof. MNPQ is a parallelogram and R is the intersection point of the diagonals MP and NQ. Let u = MQ and V = MN. Match the following expressions to their equivalents in terms of & and v. M 1. g. ta ta ta ty to h. -u -V i. 7 -V j. 2V 11. MP 12. MR + RQ13. PN + PQ 14. MQ + NP 15. MN + NQ + QM 16. MN + NP + QM 17. NP + PR + RQ + QM 18. MR + RN + OP 19. PQ + ON 20. NP + NM Part C (Putting the Concepts to Work): Completion (7 marks): Using your reading, answer the following questions: For each question you are asked to: a) identify the information given in the question. b) determine the appropriate formula. c) substitute the values given into the formula and find the solution. d) give the final answer. e) as part of your answer, give the page number in the reference material or the website that you used to find the answer to the question. 21. Write a single vector that is equivalent to AB + BC + CD + DE + EA.(three marks) MCV4U Lesson Assignment Page 4 A 22. If u and v are collinear and the magnitude of u is 7 times the magnitude of v, write an expression that represents the sum of u and v.(four marks)