Coordinate angles of three dimensional vectors

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Homework Help Overview

The discussion revolves around the relationship between coordinate angles of three-dimensional vectors, specifically addressing whether knowing two angles allows for an unlimited number of possibilities for the third angle. Participants are exploring the implications of this statement and its mathematical basis.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants express uncertainty about the original question and the term "unlimited." Others mention the method of using the sum of the squares of direction cosines equaling one as a potential approach to finding the third angle. There is also a geometric consideration raised regarding the shape formed by lines at a given angle to an axis.

Discussion Status

The discussion is active, with participants questioning the interpretation of the term "unlimited" and exploring different methods for determining the third angle. Some guidance has been provided regarding the mathematical relationship of the angles, but there is no explicit consensus on the interpretation of the problem.

Contextual Notes

Participants are navigating the implications of the problem statement and the definitions involved, particularly regarding the nature of the solutions for the third angle based on the known angles.

Tiven white
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Homework Statement


If u know the value of two coordinate angles there is an ulimeted amount of possibility for finding the third coordinate angle
A. True
B. False

Homework Equations





The Attempt at a Solution


I .not too sure about this one any suggestions would be appreciated I think its tfalse hough
 
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Tiven white said:

Homework Statement


If u know the value of two coordinate angles there is an ulimeted amount of possibility for finding the third coordinate angle
A. True
B. False

Homework Equations





The Attempt at a Solution


I .not too sure about this one any suggestions would be appreciated I think its tfalse hough
What is the sum of the squares of the three direction cosines equal to?
 
Chestermiller said:
What is the sum of the squares of the three direction cosines equal to?
they sum to 1
 
Two coordinate angles? Angles between vectors? I don't understand the question.
 
Tiven white said:
they sum to 1

Does that help answer your question?
 
Tiven white said:
they sum to 1

This approach works, but it might also help to think of it geometrically. What shape is formed by the set of lines at a given angle to the positive half of an axis?
 
Chestermiller said:
Does that help answer your question?


I'm only confuse of the term unlimited I know there is the method of just subtracting the squared Cosine of the other angles from one to get the third though I'm unsure about the term unlimited since even though I know that's a method I Dont know if its the only method
 
Tiven white said:
I'm only confuse of the term unlimited I know there is the method of just subtracting the squared Cosine of the other angles from one to get the third though I'm unsure about the term unlimited since even though I know that's a method I Dont know if its the only method
The question isn't asking about different methods of finding the answer; it's asking if the number of solution values is unlimited. You can use whatever method you like.
 
haruspex said:
The question isn't asking about different methods of finding the answer; it's asking if the number of solution values is unlimited. You can use whatever method you like.


Its false right?
 
  • #10
Tiven white said:
Its false right?

Yes. How many possibilities are there for the third angle?
 

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