Question 1

Two vectors $ \vec{A} $ =

(3, 4)

and $ \vec{B} $ =

(1, -2)

are given. What is the magnitude of the resultant vector $ \vec{R} = \vec{A} + \vec{B} $?

Accepted Answer

5

Answer

9

Answer

7

Answer

8.5

Question 2

Given two vectors $ \vec{U} =

(3, 4)

$ and $ \vec{V} =

(1, -2)

$, what is the direction of the resultant vector $ \vec{R} = \vec{U} + \vec{V} $ with respect to the positive x-axis?

Accepted Answer

180 degrees

Answer

0 degrees

Answer

45 degrees

Answer

90 degrees

Question 3

If $ \vec{P} =

(3, 4)

$ and $ \vec{Q} =

(1, -2)

$, what is the angle between $ \vec{P} $ and $ \vec{Q} $ to the nearest degree?

Accepted Answer

90 degrees

Answer

45 degrees

Answer

30 degrees

Answer

60 degrees

Question 4

What is the x-component of the resultant vector when $ \vec{A} =

(3, 4)

$ and $ \vec{B} =

(1, -2)

$ are added together?

Accepted Answer

3

Answer

4

Answer

-3

Answer

5

Question 5

Two vectors $ \vec{C} =

(3, 4)

$ and $ \vec{D} =

(1, -2)

$ are opposite in direction. What is the magnitude of their resultant vector?

Accepted Answer

0

Answer

1

Answer

14

Answer

10

Question 6

What is the y-component of the resultant vector $ \vec{F} = \vec{E} + \vec{H} $ if $ \vec{E} =

(3, 4)

$ and $ \vec{H} =

(1, -2)

$?

Accepted Answer

-2

Answer

5

Answer

-12

Answer

2

Question 7

Given $ \vec{X} =

(3, 4)

$ and $ \vec{Y} =

(1, -2)

, what is the magnitude of the resultant vector \( \vec{Z} = \vec{X} + \vec{Y} $?

Accepted Answer

Answer

Answer

Answer

Question 8

If $ \vec{J} =

(3, 4)

$ and $ \vec{K} =

(1, -2)

$, what is the angle between $ \vec{J} $ and $ \vec{K} $ to the nearest degree?

Accepted Answer

125 degrees

Answer

90 degrees

Answer

45 degrees

Answer

30 degrees

Question 9

Vectors $ \vec{M} =

(3, 4)

$ and $ \vec{N} =

(1, -2)

$ form a vector $ \vec{P} = \vec{M} + \vec{N} $. What is the x-component of $ \vec{P} $?

Accepted Answer

3

Answer

-5

Answer

2

Answer

4

Question 10

What is the resultant vector $ \vec{S} = \vec{T} + \vec{U} $ if $ \vec{T} =

(3, 4)

$ and $ \vec{U} =

(1, -2)

$?

Accepted Answer

Answer

Answer

Answer