Deck 6: Applications of Trigonometry

Question 1

Find the component form of the indicated vector.

Answer 1

B

Question 2

Find the component form and magnitude of the indicated vector.

Answer 2

D

Question 3

R = (4, 5), S = (8, 8), O = (5, 6), and P = (9, 9)

A) No
B) Yes

Answer 3

B

Question 4

Find the component form of the indicated vector.

Question 5

Find the component form of the indicated vector.

Question 6

Find the component form and magnitude of the indicated vector.

Question 7

R = (4, 3), S = (13, 11), O = (0, 0), and P = (9, 8)

A) No
B) Yes

Question 8

Find the component form and magnitude of the indicated vector.

Question 9

Find the component form and magnitude of the indicated vector.

Question 10

R = (6, 3), S = (7, 5), O = (9, 8), and P = (11, 10)

A) No
B) Yes

Question 11

R = (-1, 3), S = (-10, 5), O = (3, -1), and P = (-6, 1)

A) No
B) Yes

Question 12

R = (-4, -2), S = (-11, -11), O = (7, -3), and P = (-8, -12)

A) No
B) Yes

Question 13

R = (5, 1), S = (8, 10), O = (0, 0), and P = (3, 10)

A) Yes
B) No

Question 14

R = (-6, 3) , S = (-1, 6), O = (0, 0), and P = (5, 3)

A) No
B) Yes

Question 15

R = (-4, -2), S = (-1, 4), O = (0, 0), and P = (3, 2)

A) No
B) Yes

Question 16

Find the component form of the indicated vector.

Question 17

Find the component form of the indicated vector.

Question 18

Find the component form and magnitude of the indicated vector.

Question 19

Find the component form and magnitude of the indicated vector.

Question 20

Find the component form and magnitude of the indicated vector.

Question 21

Find the component form of the indicated vector.

Question 22

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 23

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 24

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 25

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 26

Find the component form of the vector v.

Question 27

Find the component form of the vector v.

Question 28

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 29

Find the component form of the indicated vector.

Question 30

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 31

Find the component form of the indicated vector.

Question 32

Find the component form of the vector v.

Question 33

Find the component form of the vector v.

Question 34

Find the component form of the indicated vector.

Question 35

Find the component form of the vector v.

Question 36

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 37

Find the component form of the vector v.

Question 38

Find the unit vector in the direction of the given vector. Write your answer in the indicated form.

Question 39

Find the component form of the vector v.

Question 40

Find the component form of the indicated vector.

Question 41

Solve the problem.

Question 42

Solve the problem.

Question 43

Find the component form of the vector v.

Question 44

Solve the problem.

Question 45

Solve the problem.

Question 46

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 47

Solve the problem.

Question 48

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 49

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 50

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 51

Solve the problem.

Question 52

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 53

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 54

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 55

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 56

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 57

Find the component form of the vector v.

Question 58

Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded
to the nearest tenth.

Question 59

Solve the problem.

Question 60

Solve the problem.
One rope pulls a barge directly east with a force of 83 N, and another rope pulls the barge directly north with a force of 47 N. Find the magnitude of the resultant force acting on the barge.

A) 95 N
B) 3901 N
C) 36 N
D) 130 N

Question 61

Find a· b.

Question 62

Use the dot product to find

Question 63

Solve the problem.

Question 64

Use the dot product to find

Question 65

Find the angle between the given vectors to the nearest tenth of a degree.

Question 66

Use the dot product to find

Question 67

Find a· b.

Question 68

Find a· b.

Question 69

Find a· b.

Question 70

Find a· b.

Question 71

Use the dot product to find

Question 72

Use the dot product to find

Question 73

Use the dot product to find

Question 74

Find a· b.

Question 75

Find a· b.

Question 76

Find a· b.

Question 77

Find a· b.

Question 78

Find the angle between the given vectors to the nearest tenth of a degree.

Question 79

Find a· b.

Question 80

Find the angle between the given vectors to the nearest tenth of a degree.