AnswersPrecalculusApplying Vectors in the Plane

Applying Vectors in the Plane — Quiz Answers

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Which diagram indicates a bearing of cap s 40 degrees cap e ?

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

An airplane travels at 300 mph in the direction cap s 45 degrees cap e What is the component form of the velocity vector?

A
⟨150⁢2, 150⁢2⟩
B
⟨−150⁢2, 150⁢2⟩
C
langle 150 square root of 2 comma negative 150 square root of 2 rangle
D
langle minus 150 square root of 2 comma negative 150 square root of 2 rangle
6

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 cap s 22 degrees cap e
B
420 kph with a directional bearing of cap s 68 degrees cap e
C
328 kph with a directional bearing of cap s 68 degrees cap e
D
420 kph with a directional bearing of cap s 22 degrees cap e
8

A plane is traveling with an airspeed of 350 mph in the direction cap n 40 degrees cap e Let the plane’s ground speed equal x , which is affected by a 50 -mph wind blowing directly from the south. Which diagram represents this scenario?

A
Image with description On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the y-axis in quadrant 1. Vector x is about 35 degrees from the y-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
B
Image with description On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the y-axis in quadrant 2. Vector x is about 35 degrees from the y-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
C
Image with description On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the x-axis in quadrant 2. Vector x is about 45 degrees from the x-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
D
Image with description On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the x-axis in quadrant 1. Vector x is about 45 degrees from the x-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
10

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

A
Image with description 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.
B
Image with description 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.
C
Image with description 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.
D
Image with description 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.

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