Name:    Chapter 6 Post Test

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

1.

Given , , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
 a. b. c. d. e.

2.

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

3.

Given , , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
 a. b. c. d. e.

4.

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. 9.4

5.

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

6.

Find the magnitude of vector v.

 a. b. c. d. e.

7.

Find a unit vector in the direction of .
 a. b. c. d. e.

8.

Find the magnitude and direction angle of . Round direction angle to nearest degree.
 a. b. c. d. e.

9.

Find the magnitude and direction angle of .
 a. b. c. d. e.

10.

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

11.

Given vectors and determine the quantity indicated below.
 a. b. c. d. e.

12.

Determine whether u are v and orthogonal, parallel, or neither.
 a. parallel b. neither c. orthogonal

13.

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%.
 a. b. c. d. e.

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.

 a. d. b. e. c.

17.

Find the product using trigonometric forms. Leave the result in trigonometric form.
 a. b. c. d. e.

18.

Find the fourth roots of Write the roots in trigonometric form.
 a. b. c. d. e.

19.

Find all solutions to the following equation.
 a. b. ,, c. d. , , e. , ,

20.

Find all solutions to the following equation.
 a. b. c. d. e.