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Chapter 6 Post Test



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Given mc001-1.jpg, mc001-2.jpg, and mc001-3.jpg, use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
mc001-4.jpg
a.
mc001-5.jpg
b.
mc001-6.jpg
c.
mc001-7.jpg
d.
mc001-8.jpg
e.
mc001-9.jpg
 

 2. 

Given mc002-1.jpg, mc002-2.jpg, and mc002-3.jpg, use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places.
mc002-4.jpg
a.
18.53
b.
19.13
c.
19.73
d.
14.92
e.
17.33
 

 3. 

Given mc003-1.jpg, mc003-2.jpg, and mc003-3.jpg, use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
a.
mc003-4.jpg
b.
mc003-5.jpg
c.
mc003-6.jpg
d.
mc003-7.jpg
e.
mc003-8.jpg
 

 4. 

In the figure below, mc004-1.jpg, mc004-2.jpg, and mc004-3.jpg. Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
mc004-4.jpg
a.
12.77
b.
6.03
c.
11.08
d.
9.82
e.
9.40
 

 5. 

Given mc005-1.jpg, mc005-2.jpg, and mc005-3.jpg, use Heron's Area Formula to find the area of mc005-4.jpg. Round answer to two decimal places.
a.
16.76 sq. units
b.
18.44 sq. units
c.
17.36 sq. units
d.
14.02 sq. units
e.
20.21 sq. units
 

 6. 

Find the magnitude of vector v.
mc006-1.jpg
mc006-2.jpg
a.
mc006-3.jpg
b.
mc006-4.jpg
c.
mc006-5.jpg
d.
mc006-6.jpg
e.
mc006-7.jpg
 

 7. 

Find a unit vector in the direction of mc007-1.jpg.
a.
mc007-2.jpg
b.
mc007-3.jpg
c.
mc007-4.jpg
d.
mc007-5.jpg
e.
mc007-6.jpg
 

 8. 

Find the magnitude and direction angle of mc008-1.jpg. Round direction angle to nearest degree.
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
e.
mc008-6.jpg
 

 9. 

Find the magnitude and direction angle of mc009-1.jpg.
a.
mc009-2.jpg
b.
mc009-3.jpg
c.
mc009-4.jpg
d.
mc009-5.jpg
e.
mc009-6.jpg
 

 10. 

Given vectors mc010-1.jpg and mc010-2.jpg determine the quantity indicated below.
mc010-3.jpg
a.
–27
b.
–9
c.
–24
d.
3
e.
–15
 

 11. 

Given vectors mc011-1.jpg and mc011-2.jpg determine the quantity indicated below.
mc011-3.jpg
a.
mc011-4.jpg
b.
mc011-5.jpg
c.
mc011-6.jpg
d.
mc011-7.jpg
e.
mc011-8.jpg
 

 12. 

Determine whether u are v and orthogonal, parallel, or neither.
mc012-1.jpg
a.
parallel
b.
neither
c.
orthogonal
 

 13. 

The vector mc013-1.jpg gives the number of units of two models of laptops produced by a company. The vector mc013-2.jpg gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.
a.
mc013-3.jpg
b.
mc013-4.jpg
c.
mc013-5.jpg
d.
mc013-6.jpg
e.
mc013-7.jpg
 

 14. 

A 725-pound trailer is sitting on an exit ramp inclined at 36° on Highway 35. How much force is required to keep the trailer from rolling back down the exit ramp? Round answer to two decimal places.
a.
566.49 pounds
b.
506.34 pounds
c.
546.44 pounds
d.
586.54 pounds
e.
426.14 pounds
 

 15. 

A force of 45 pounds is exerted along a rope attached to a crate at an angle of 30° above the horizontal. The crate is moved 23 feet. How much work has been accomplished? Round answer to one decimal place.
a.
1,035.0 foot-pounds
b.
896.3 foot-pounds
c.
1,195.1 foot-pounds
d.
965.7 foot-pounds
e.
1,080.4 foot-pounds
 

 16. 

Plot the following complex number.
mc016-1.jpg
mc016-2.jpg
a.
mc016-3.jpg
d.
mc016-6.jpg
b.
mc016-4.jpg
e.
mc016-7.jpg
c.
mc016-5.jpg
 

 17. 

Find the product mc017-1.jpg using trigonometric forms. Leave the result in trigonometric form.
a.
mc017-2.jpg
b.
mc017-3.jpg
c.
mc017-4.jpg
d.
mc017-5.jpg
e.
mc017-6.jpg
 

 18. 

Find the fourth roots of mc018-1.jpg Write the roots in trigonometric form.
a.
mc018-2.jpg
b.
mc018-3.jpg
c.
mc018-4.jpg
d.
mc018-5.jpg
e.
mc018-6.jpg
 

 19. 

Find all solutions to the following equation.
mc019-1.jpg
a.
mc019-2.jpg
b.
mc019-3.jpg,mc019-4.jpgmc019-5.jpg
c.
mc019-6.jpg
d.
mc019-7.jpg, mc019-8.jpg, mc019-9.jpg
e.
mc019-10.jpg, mc019-11.jpg, mc019-12.jpg
 

 20. 

Find all solutions to the following equation.
mc020-1.jpg
a.
mc020-2.jpg
b.
mc020-3.jpg
c.
mc020-4.jpg
d.
mc020-5.jpg
e.
mc020-6.jpg
 



 
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