Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Given  ,  ,
and  , use the Law of Cosines to solve the triangle
for the value of B. Round answer to two decimal places.
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2.
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Given  ,  ,
and  , use the Law of Cosines to solve the triangle
for the value of a. Round answer to two decimal places.
a. | 18.53 | b. | 19.13 | c. | 19.73 | d. | 14.92 | e. | 17.33 |
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3.
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Given  ,  ,
and  , use the Law of Cosines to solve the triangle
for the value of B. Round answer to two decimal places.
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4.
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In the figure below,  ,  , and  . 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.
a. | 12.77 | b. | 6.03 | c. | 11.08 | d. | 9.82 | e. | 9.40 |
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5.
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Given  ,  ,
and  , use Heron's Area Formula to find the
area of  . 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 |
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6.
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Find the magnitude of vector
v.
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7.
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Find a unit vector in the direction of  .
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8.
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Find the magnitude and direction angle of  . Round direction angle to nearest degree.
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9.
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Find the magnitude and direction angle of  .
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10.
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Given vectors  and  determine the quantity indicated below.
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11.
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Given vectors  and  determine the quantity indicated below.
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12.
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Determine whether u are v and
orthogonal, parallel, or neither.
a. | parallel | b. | neither | c. | orthogonal |
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13.
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The vector  gives the
number of units of two models of laptops produced by a company. The vector 
gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector
operation used to increase revenue by 5%.
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14.
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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 |
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15.
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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 |
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16.
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Plot the following complex number.
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17.
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Find the product  using
trigonometric forms. Leave the result in trigonometric form.
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18.
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Find the fourth roots of 
Write the roots in trigonometric form.
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19.
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Find all solutions to the following
equation.
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20.
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Find all solutions to the following
equation.
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