Vector Applications Unit Assigr X Vector Applications Unit Assigr X C 5. Draw Diagrams To Explain TI X Homework Help - Q&A from Or X + C Ims. virtualhighschool.com/d21/le/content/64461/viewContent/1051796/View 19 Google Calendar M Gmail E Google Docs School Course Hero C Chegg OUAC login YouTube N Netflix O U-NEXT Merger Tasks - My Study... qb Big Time Fitness... b. What is the minimum magnitude of force that could have been applied to the sled to obtain the same work? Explain your answer. 3. Given a = [1, -3,6] and b = [4, -5, -2], find (4 marks) a. a x b and verify that it is perpendicular to both a and b. b. A vector c' such that a . (b X c ) = 0. What is the relationship between the vectors a , b , and c in this case, and why? Verify this. 4. Given v = [3,5, -4] and w = [4, -3, -2], find (4 marks) a. V I w b. w / v c. What does the magnitude of w | v depend on? d. What does the direction of w | v depend on? 5. Draw diagrams to explain the answers to the following questions. (4 marks) a. Is it possible to have a + b = 0? b. Is it possible to have a + b undefined? c. Is it possible to have a | b = ba? d. Explain why a = al (3 1 2). 6. Answer the following with either an explanation, a diagram or a proof: (4 marks) a. If a . b = a . C, what is the relationship between b and c? b. If a x b = a x c, what is the relationship between b and c? 7. Prove that a . ( b + c ) = a . b + a . c for all a, b, c E R3. (2 marks) 8. Given vectors a , b , c, and d , state whether each of the following results in a scalar, a vector, or is not possible. Justify each response. (6 marks) a. a . (b x c) b . a . b x c c. axb t (c. d )