sketch w. 12. Find the components of u = PR, where P = (1, 2, 2).In Exercises 14-17, determine whether AB is equivalent to P Q. (C) 14. A = (1, 1, 1) B = (3, 3, 3) P = (1, 4, 5) Q = (3, 6, 7)694 CHAPTER 13 VECTOR GEOMETRY 15. A = (1, 4, 1) B = (-2, 2, 0) P = (2, 5,7) Q = (-3, 2, 1) 16. A = (0, 0, 0) B = (-4, 2, 3) P = (4, -2, -3) Q = (0, 0,0) 17. A = (1, 1,0) B = (3, 3, 5) P = (2, -9,7) Q = (4, -7, 13) In Exercises 18-23, calculate the linear combinations. 18. 5 (2, 2, -3) + 3 (1, 7, 2) 19. -2 (8, 11, 3) + 4 (2, 1, 1) 20. 6(4j + 2k) - 3(2i + 7k) 21. - (4, -2, 8) - 5 (12, 3, 3) 22. 5(i + 2j) - 3(2j + k) +7(2k - i) 23. 4 (6, -1, 1) - 2 (1, 0, -1) + 3 (-2, 1, 1) In Exercises 24-27, determine whether or not the two vectors are parallel. 24. u = (1, -2, 5) , v = (-2,4, -10) 25. u = (4, 2, -6) , v = (2, -1, 3) 26. u = (4,2, -6) , v = (2, 1, 3) 27. u = (-3, 1, 4) , v = (6, -2, 8) In Exercises 28-31, find the given vector