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August 21, 2014

August 21, 2014

Posted by **Cam** on Wednesday, December 7, 2011 at 7:13pm.

A Lesson 13

B Lesson 13

C Lesson 13

D Lesson 13

E Lesson 13

F Lesson 13

2. Initial point: (3, 5); Terminal point: (-2, -1)

A Lesson 13

B Lesson 13

C Lesson 13

D Lesson 13

E Lesson 13

F Lesson 13

In problems 3 and 4, let u = Lesson 13, v = Lesson 13, and w = Lesson 13. Find the component form of the vector.

3. 2u + 3w

A Lesson 13

B Lesson 13

C Lesson 13

D Lesson 13

E Lesson 13

F Lesson 13

4. -2u - 3v

A Lesson 13

B Lesson 13

C Lesson 13

D Lesson 13

E Lesson 13

F Lesson 13

5. Find a unit vector in the direction of v = Lesson 13. Write your answer as a linear combination of the standard unit vectors i and j. Round each component to the nearest hundredth, if necessary.

A 0.71i - 0.71j

B 0i - 0j

C 1.41i - 1.41j

D 1i - 1j

E 2.83i - 3.83j

F -1i - 1j

6. Find the component form of v if the direction angle is 55° and the magnitude is 14. (See diagram below.) Round each component to the nearest hundredth, if necessary.

A vLesson 13

B v Lesson 13

C v Lesson 13

D v Lesson 13

E v Lesson 13

F v Lesson 13

For problems 7 and 8, find the magnitude and direction angle of the given vector.

7. Lesson 13

A magnitude: 5; direction angle: 53.13°

B magnitude: Lesson 13; direction angle: 53.13°

C magnitude: Lesson 13; direction angle: 3.40°

D magnitude: Lesson 13; direction angle: 0.80°

E magnitude:5; direction angle: 3.40°

F magnitude: 5; direction angle: 0.80°

8. -3i - 5j

A magnitude: Lesson 13; direction angle: 120.96°

B magnitude: Lesson 13; direction angle: 239.04°

C magnitude: Lesson 13; direction angle: 59.04°

D magnitude: 34; direction angle: 84.94°

E magnitude: 34; direction angle: 95.06°

F magnitude: 34; direction angle: 275.06°

For problems 9 - 11, find the dot product if u = Lesson 13, v = Lesson 13, and w = Lesson 13.

9. Lesson 13

A 2

B 8

C -10

D 10

E 4

F -3

10. Lesson 13

A -11

B 0

C 1

D -17

E 11

F -1

11. Lesson 13

A 37

B -37

C -33

D -29

E 29

F 9

For problems 12 and 13, using the theorem given in this lesson, find the angle between the given vectors.

12. Lesson 13 and Lesson 13

A 88.3°

B 55.5°

C 11°

D 74.92°

E 1.7°

F 62.4°

13. Lesson 13 and Lesson 13

A 120°

B 60°

C 315°

D 225°

E 135°

F 45°

14. An airplane is flying on a bearing of 335° at 530 miles per hour. Find the component form of the velocity of the airplane.

A v Lesson 13

B v Lesson 13

C v Lesson 13

D v Lesson 13

E v Lesson 13

F v Lesson 13

15. An airplane is flying on a bearing of 170° at 460 miles per hour. Find the component form of the velocity of the airplane.

A v Lesson 13

B v Lesson 13

C v Lesson 13

D v Lesson 13

E v Lesson 13

F v Lesson 13

16. Now, assume that the airplane from problem 12 is flying in a wind that is blowing with the bearing 200° at 80 miles per hour. Find the actual ground speed of the airplane.

A 530.79 miles per hour

B 52.52 miles per hour

C 528.19 miles per hour

D 24.09 miles per hour

E 23.08 miles per hour

F 453.01 miles per hour

17. Use the information from problem 13 to find the actual direction (angle) of the airplane. (This is the angle from the horizontal x-axis, not the bearing.)

A 174.32°

B -75.18°

C 250°

D -80°

E 80°

F 84.32°

18. A basketball is shot at a 70° angle with the horizontal with an initial velocity of 10 meters per second. Find the component form of the initial velocity.

A v Lesson 13

B v Lesson 13

C v Lesson 13

D v Lesson 13

E vLesson 13

F v Lesson 13

19. A force of 50 pounds acts on an object at an angle of 45°. A second force of 75 pounds acts on the object at an angle of -30°. Find the direction and magnitude of the resultant force.

A magnitude: 2.14 lbs; direction: -2.14°

B magnitude: 125 lbs; direction: -30°

C magnitude: 125 lbs; direction: -1.22°

D magnitude: 100.33 lbs; direction: 15°

E magnitude: 100.33 lbs; direction: -1.22°

F magnitude: 2.14 lbs; direction: 15°

20. Juana and Diego Gonzales, ages six and four respectively, own a strong and stubborn puppy named Corporal. It is so hard to take Corporal for a walk that they devise a scheme to use two leashes. If Juana pulls with a force of 23 lbs at an angle of 18Â° and Diego pulls with a force of 27 lbs at an angle of -15°, how hard is Corporal pulling if the puppy holds the children at a standstill?

A 50 lbs

B 4 lbs

C 3 lbs

D 47.95 lbs

E 33 lbs

F 7 lbs

- geometry -
**Henry**, Thursday, December 8, 2011 at 8:33pmSee your 12-6-11,5:33am post.

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