What Is the Final Position of a Vector Rotated Clockwise by 110°?

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Homework Help Overview

The discussion revolves around the final position of a vector that is initially pointing eastward and is rotated clockwise by an angle of 110°. Participants are exploring the implications of this rotation in terms of directional terminology.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to differentiate between the phrases "70° east of south" and "70° south of east," questioning how these descriptions relate to the vector's final position after rotation. There is also a mention of drawing diagrams to visualize the problem.

Discussion Status

Some participants have expressed understanding of the problem and have provided interpretations of the vector's final position. There is an exploration of different directional descriptions, but no consensus has been reached on the terminology used.

Contextual Notes

One participant notes that the vector ends up in the fourth quadrant with a 70-degree angle, indicating some uncertainty about the correct description of its final position. There is also a reference to a specific answer of "20 degrees west of south," which suggests a potential resolution but lacks further elaboration.

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Homework Statement



Vector A is initially pointing eastward. This vector is rotated clockwise by an angle of 110°. Which of the following statements is correct regarding the final position of vector A ?



Homework Equations



none

The Attempt at a Solution


I narrowed down my choices to 2:

Vector A is initially pointing eastward. This vector is rotated clockwise by an angle of 110°. Which of the following statements is correct regarding the final position of vector A ?

It is pointing 70° east of south.
or
It is pointing 70° south of east.
What's the difference?

The vector ends up in 4th quadrant with a 70 degree angle but i can choose which choice it is.
 
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nvm i understand:

Answer equals 20 degrees west of south
 
Torshi said:
It is pointing 70° east of south.
or
It is pointing 70° south of east.
What's the difference?
For 'east of south' you start off pointing south, then go east. Which way is east?
For 'south of east' you start off pointing east, then go south.

Compare these directions with the given vector. (Actually draw a diagram, indicate east, then rotate by 110 degrees.)

The vector ends up in 4th quadrant with a 70 degree angle but i can choose which choice it is.
You might want to reconsider the other choices.
 
Torshi said:
Answer equals 20 degrees west of south
There you go.
 

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