AnswersPrecalculusApplying Vectors in the Plane

Applying Vectors in the Plane Answers

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A single-engine plane is flying at 30 mph in the direction N 60° E. A wind is blowing from west to east at 15 mph. Which diagram accurately represents the wind triangle for this plane?

A
On a coordinate plane, a ground vector goes up and to the right. Air vector is higher than the ground vector and forms angle 60 degrees with the x-axis. Wind vector connects the terminal points of the vectors.
Option A
B
On a coordinate plane, an air vector goes up and to the right. Ground vector is higher than the ground vector and forms angle 60 degrees with the x-axis. Wind vector connects the terminal points of the vectors.
Option B
C
On a coordinate plane, a ground vector goes up and to the right. Air vector is higher than the ground vector and forms angle 60 degrees with the y-axis. Wind vector connects the terminal points of the vectors.
Option C
D
On a coordinate plane, an air vector goes up and to the right. Ground vector is higher than the ground vector and forms angle 60 degrees with the y-axis. Wind vector connects the terminal points of the vectors.
Option D
2
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Review the diagram.

Question illustration
A
(78, 290)
B
(290, 78)
C
(127, 272)
D
(272, 127)
3

Which diagram indicates a bearing of S 40° E?

A
On a coordinate plane, vector u goes down and to the right in quadrant 4 and forms angle 40 degrees with the y-axis.
Option A
B
On a coordinate plane, vector u goes down and to the right in quadrant 3 and forms angle 40 degrees with the y-axis.
Option B
C
On a coordinate plane, vector u goes down and to the right in quadrant 2 and forms angle 40 degrees with the y-axis.
Option C
D
On a coordinate plane, vector u goes down and to the right in quadrant 1 and forms angle 40 degrees with the y-axis.
Option D
4

Review the diagram.

Question illustration
A
409.81 pounds
B
600.00 pounds
C
653.91 pounds
D
859.81 pounds
5

A boat travels with velocity vector . What is the directional bearing of the boat?

Question illustration
A
N 30° E
B
E 30° S
C
E 30° N
D
N 30° W
6

A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?

A
400 mph
B
402 mph
C
429 mph
D
440 mph
7

A plane flies at 350 mph in the direction 40° north of east, with a wind blowing at 40 mph in the direction 30° south of east. What is the plane’s drift angle?

A
5.90°
B
6.38°
C
45.89°
D
46.38°
8

Review the diagram.

Question illustration
A
approximately 85 m
B
approximately 122 m
C
approximately 174 m
D
approximately 194 m
9

An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?

A
323 kph with a directional bearing of S 22° E
B
328 kph with a directional bearing of S 68° E
C
420 kph with a directional bearing of S 22° E
D
420 kph with a directional bearing of S 68° E
10

Review the graph.

Question illustration
A
13.23 pounds
B
38.78 pounds
C
43.95 pounds
D
53.23 pounds

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