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1. A = 36, B = 98 , c = 16 2. a = 4, b = 8, c = 10 3. A = 35',
1. A = 36, B = 98 , c = 16 2. a = 4, b = 8, c = 10 3. A = 35', b = 8, c = 12 4. A = 25", b = 28, a = 18 5. B - 130, c = 10.1, b = 5.2 6. A = 150, b - 4.8, a - 9.4 7. Find the length of the pond shown at the right. 3. A triangular parcel of land has borders of lengths 55 meters, 85 meters, and 100 meters. Find the area of the parcel of land. 565 0 9. Find the component form and magnitude of the vector w that has initial point (-8, - 12) and terminal point (4, 1). In Exercises 10-13, find (a) 2v + u, (b) u - 3v, and (c) 5u - v. 10. u - (0, -4). v =(-2, -8) 11. u - (-2, -3), Y = (-1, -10) Figure for 7 12. u = 1 - J. v = 61 + 9j 13. u 21 + 3j, v = -1 - 2j 14. Find a unit vector in the direction of v - 7i + 4j 15. Find the component form of the vector v with v - 12. in the same direction as U 16. Forces with magnitudes of 250 pounds and 130 pounds act on an object at angles of 15 and -60 , respectively, with the positive r-axis. Find the direction and magnitude of the resultant of these forces. 17. Find the dot product of u - (-9. 4) and v = (1. 3). 18. Find the angle between the vectors u - 71 1 2j and v - -4j. 19. Are the vectors u - - (6, -4) and v - (2. -3) orthogonal ? Explain 20. Find the projection of u - (6. 7) onto v (-5. - D). Then write u as the sum of two orthogonal vectors 21. Write the complex number -2 4. 2i in trigonometric form. 22. Write the complex number TOOfcos 210 + 7 sin 240 ) in standard formIn Exercises 23 and 24, use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. [3(cos 5 77 5 71 23. + i sin 24. (3 - 37) 6 6 25. Find the fourth roots of 128( 1 +
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