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Problem 7.21
Write each vector in the form 〈a, b〉. Write answers using exact values or to four decimal places, as appropriate.
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Problem 7.21
For each pair of vectors u and v with angle θ between them, sketch the resultant.
|u| = 20, |v| = 30, θ = 30°
Problem 7.21
Solve each triangle ABC that exists.
A = 42.5°, a = 15.6 ft, b = 8.14 ft
Problem 7.21
Solve each triangle. See Examples 2 and 3.
C = 45.6°, b = 8.94 m, a = 7.23 m
Problem 7.22
Write each vector in the form 〈a, b〉. Write answers using exact values or to four decimal places, as appropriate.
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Problem 7.23
Write each vector in the form 〈a, b〉. Write answers using exact values or to four decimal places, as appropriate.
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Problem 7.23
Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in each figure. Round answers to the nearest tenth.
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Problem 7.23
Solve each triangle ABC.
A = 39.70°, C = 30.35°, b = 39.74 m
Problem 7.23
Solve each triangle. See Examples 2 and 3.
a = 9.3 cm, b = 5.7 cm, c = 8.2 cm
Problem 7.24
Write each vector in the form 〈a, b〉. Write answers using exact values or to four decimal places, as appropriate.
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Problem 7.25
Write each vector in the form 〈a, b〉. Write answers using exact values or to four decimal places, as appropriate.
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Problem 7.25
Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in each figure. Round answers to the nearest tenth.
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Problem 7.25
Solve each triangle ABC.
B = 42.88°, C = 102.40°, b = 3974 ft
Problem 7.25
Solve each triangle ABC that exists.
B = 72.2°, b = 78.3 m, c = 145 m
Problem 7.25
Solve each triangle ABC that exists.
A = 38° 40', a = 9.72 m, b = 11.8 m
Problem 7.25
Solve each triangle. See Examples 2 and 3.
a = 42.9 m, b = 37.6 m, c = 62.7 m
Problem 7.27
Two forces act on a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force.
forces of 250 and 450 newtons, forming an angle of 85°
Problem 7.27
Solve each triangle ABC that exists.
A = 96.80°, b = 3.589 ft, a = 5.818 ft
Problem 7.27
Solve each triangle. See Examples 2 and 3.
a = 965 ft, b = 876 ft, c = 1240 ft
Problem 7.27a
Use the figure to find each vector: u + v. Use vector notation as in Example 4.
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Problem 7.27b
Use the figure to find each vector: u - v. Use vector notation as in Example 4.
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Problem 7.27c
Use the figure to find each vector: - u. Use vector notation as in Example 4.
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Problem 7.28
Solve each triangle ABC.
C = 79° 18', c = 39.81 mm, A = 32° 57'
Problem 7.29
Two forces act on a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force.
forces of 116 and 139 lb, forming an angle of 140° 50′
Problem 7.29
Solve each triangle ABC that exists.
B = 39.68°, a = 29.81 m, b = 23.76 m
Problem 7.29
Solve each triangle. See Examples 2 and 3.
A = 80° 40', b = 143 cm, c = 89.6 cm
Problem 7.29a
Use the figure to find each vector: u + v. Use vector notation as in Example 4.
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Problem 7.29b
Use the figure to find each vector: u - v. Use vector notation as in Example 4.
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Problem 7.29c
Use the figure to find each vector: - u. Use vector notation as in Example 4.
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Problem 7.3
Use the law of sines to find the indicated part of each triangle ABC.
Find B if C = 51.3°, c = 68.3 m, b = 58.2 m