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Vectors and Their Components Answers

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Let v =. What is the approximate direction angle of v?

Question illustration
A
34°
B
56°
C
124°
D
304°
2
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A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp?

A
a scalar less than –1
B
a scalar between –1 and 0
C
a scalar between 0 and 1
D
a scalar greater than 1
3

Review the graph.

Question illustration
A
5
B
13
C
StartRoot 5 EndRoot
Option C
D
StartRoot 13 EndRoot
Option D
4

Let p = where F(0, 5) and G(–4, –3). What is the direction angle of ?

Question illustration
A
27°
B
63°
C
117°
D
297°
5

Review the graph.

Question illustration
A
LeftAngleBracket negative 2, 7 RightAngleBracket and StartRoot 53 EndRoot
Option A
B
LeftAngleBracket negative 2, 7 RightAngleBracket and 53
Option B
C
LeftAngleBracket negative 7, 2 RightAngleBracket and StartRoot 53 EndRoot
Option C
D
LeftAngleBracket negative 7, 2 RightAngleBracket and 53
Option D
6

Review the graph.

Question illustration
A
magnitude of 8 and direction angle equal to 0°
B
magnitude of 8 and direction angle equal to 180°
C
magnitude of and direction angle equal to 0°
Option C
D
magnitude of and direction angle equal to 180°
Option D
7

A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at (0, 0), and the park at (16, 11).Using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?

A
components: distance: 19.42 yards
Option A
B
components: distance: 194.16 yards
Option B
C
components: distance: 19.42 yards
Option C
D
components: distance: 194.16 yards
Option D
8

Review the graph.

Question illustration
A
The magnitudes are 10, and the direction angles are about 18°.
B
The magnitudes are 10, and the direction angles are about 162°.
C
The magnitudes are 100, and the direction angles are about 18°.
D
The magnitudes are 100, and the direction angles are about 162°.
9

Let v be a vector with initial point (–5, –11) and terminal point (6, 2). What is ?

Question illustration
A
StartRoot 24 EndRoot
Option A
B
StartRoot 290 EndRoot
Option B
C
24
D
290
10

Let v = . What is the approximate direction angle of v?

Question illustration
A
34°
B
56°
C
146°
D
326°

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