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Exercises 5.6, page 173

1. $- 38$
3. 7
5. 651
7. $- 340$
9. 202
11. 18,270
13. 0.128
15. $x = - 1, y = 2, z = 0$
17. $x = 2, y = - 1, z = 1$
19. $x = 4, y = - 3, z = 3$
21. $l = \frac{1}{2}, w = \frac{2}{3}, h = \frac{1}{6}$
23. $x = \frac{2}{3}, y = - \frac{1}{3}, z = 1$
25. $x = \frac{4}{15}, y = - \frac{3}{5}, z = \frac{1}{3}$
27. $p = - 2, q = \frac{2}{3}, r = \frac{1}{3}$
29. Collinear
31. $- 35$ (sign changes)
33. 35 (no change)
35. $A = 125 N, B = 60 N, F = 75 N$
37. $s_{0} = 2 ft, v_{0} = 5 ft / s, a = 4 ft / s^{2}$
39. $∠ A = 120 °; ∠ B = 40 °; ∠ L = 80 °$
41. $V = 5.0 + 0.5 T + 0.1 T^{2}$
43. 79% Ni, 16% Fe, 5% Mo
45. 30.9 mi/h, 45.9 mi/h, 551 mi/h

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